{"id":54,"date":"2022-04-13T06:12:52","date_gmt":"2022-04-13T06:12:52","guid":{"rendered":"http:\/\/9thclass.deltapublications.in\/?page_id=54"},"modified":"2025-11-21T07:31:45","modified_gmt":"2025-11-21T07:31:45","slug":"c-7-scale-drawings-word-problems","status":"publish","type":"page","link":"https:\/\/9thclass.deltapublications.in\/index.php\/c-7-scale-drawings-word-problems\/","title":{"rendered":"C.7 Scale drawings: word problems"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Scale drawings: word problems<\/strong><\/h2>\n\n\n\n<figure class=\"wp-block-video\"><video controls src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/08\/Class-9-C.7-Scale-drawings_-word-problems__.mp4\"><\/video><\/figure>\n\n\n\n<p class=\"has-text-color has-link-color has-large-font-size wp-elements-1183af47c341b3e441235b382e35a9c0\" style=\"color:#74008b\"><strong>Key notes:<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">1\ufe0f\u20e3 What is a Scale Drawing? \ud83d\udccf\ud83d\udd8c\ufe0f<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>A <strong>scale drawing<\/strong> is a <strong>representation of an object or area<\/strong> where all dimensions are <strong>proportional to the real object<\/strong>.<\/li>\n\n\n\n<li>Example: A map showing a city where 1 cm = 1 km. \ud83c\udf0d<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">2\ufe0f\u20e3 Understanding Scale \ud83d\udd0d<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Scale<\/strong> shows the <strong>ratio<\/strong> between the <strong>drawing<\/strong> and the <strong>actual object<\/strong>.<\/li>\n\n\n\n<li><strong>Common formats:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Ratio: 1:50 (1 unit on drawing = 50 units in real life)<\/li>\n\n\n\n<li>Fraction: 1\/50<\/li>\n\n\n\n<li>Verbal: \u201c1 cm represents 50 cm\u201d<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">3\ufe0f\u20e3 Word Problems with Scale Drawings \ud83d\udcdd\ud83e\udd14<\/h3>\n\n\n\n<p>To solve word problems:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Identify the scale<\/strong> \ud83c\udfaf<\/li>\n\n\n\n<li><strong>Decide what is being asked<\/strong> \u2753<\/li>\n\n\n\n<li><strong>Write a proportion<\/strong>: <\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center\"><strong>length\u00a0on\u00a0drawing\/actual\u00a0length = scale\u00a0ratio<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Solve for the missing value<\/strong> \u270f\ufe0f<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">4\ufe0f\u20e3 Example Problem \ud83c\udf08<\/h3>\n\n\n\n<p><strong>Problem:<\/strong> A garden is 150 m long. On a map, the scale is 1:1000. How long is the garden on the map?<\/p>\n\n\n\n<p><strong>Solution:<\/strong> <\/p>\n\n\n\n<p>length\u00a0on\u00a0mapa\/ctual\u00a0length=1\/1000<\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>Length\u00a0on\u00a0map = 150\/1000 = 0.15\u00a0m\u00a0=15\u00a0cm\ud83d\udcd0<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">5\ufe0f\u20e3 Tips &amp; Tricks \ud83d\udca1<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u2705 Always <strong>convert units<\/strong> to match the scale.<\/li>\n\n\n\n<li>\u2705 <strong>Draw a small diagram<\/strong> if it helps visualize.<\/li>\n\n\n\n<li>\u2705 Remember: <strong>Scale ratio = drawing \u00f7 actual<\/strong>.<\/li>\n\n\n\n<li>\u2705 Check if the question asks for <strong>drawing length<\/strong> or <strong>actual length<\/strong>.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading has-large-font-size\">6\ufe0f\u20e3 Fun Emoji Reminder \ud83c\udf89<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\ud83d\udd8c\ufe0f Drawing length \u2192 use <strong>map or plan<\/strong><\/li>\n\n\n\n<li>\ud83d\udccf Actual length \u2192 <strong>real-life measurement<\/strong><\/li>\n\n\n\n<li>\ud83d\udd04 Use <strong>proportions<\/strong> to convert!<\/li>\n<\/ul>\n\n\n\n<p class=\"has-text-align-center has-text-color has-large-font-size\" style=\"color:#105000\"><strong>Learn with an example<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-background has-large-font-size\" style=\"background-color:#f7f1ab\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-background-background-color has-text-color has-background\" style=\"color:#b00012\"><strong>\ud83d\udd14 Ayana measured a swimming pool and made a scale drawing. The scale she used was&nbsp;7 centimetres : 3 metres. The pool is 28 centimetres in the drawing. How wide is the actual pool?<\/strong><\/p>\n\n\n\n<p>Write the scale of the drawing as a fraction:<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">7cm \/3m<\/p>\n\n\n\n<p>Write an equivalent fraction with 28 centimetres as the numerator.<\/p>\n\n\n\n<p class=\"has-text-align-center has-text-color\" style=\"color:#044200\">7cm \u00d7 4 \/3m \u00d7 4  =28 cm \/ <strong>12 m<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center has-text-color\" style=\"color:#8b0000\">The actual pool is 12 metres wide.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-2cecce63a7e208d9e9c24316f4c77b72\" style=\"background-color:#b2f7ab\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<p class=\"has-background-background-color has-text-color has-background\" style=\"color:#b00012\"><strong>\ud83d\udd14 Pablo wants to check out a book from his local library, but it is not available. Pablo decides to visit the library in Wildgrove to see if that location has a copy of the book. On a map, the two libraries are 48 centimetres apart. If the scale of the map is 1 centimetre : 1 kilometre, then what is the actual distance between the two libraries?<\/strong><\/p>\n\n\n\n<p>Write a ratio that represents the scale of the map in centimetres to<br>kilometres: 1\/1.<br><\/p>\n\n\n\n<p>Write a ratio that relates the centimetres between the two libraries on the<br>map to the kilometres between the two libraries in real life: 48\/d.<\/p>\n\n\n\n<p>Use those ratios to set up a proportion and solve.<\/p>\n\n\n\n<p>1\/1 = 48\/d<\/p>\n\n\n\n<p>Multiply both sides by d.<\/p>\n\n\n\n<p class=\"has-text-align-center has-large-font-size\">1\/1 xd = 48\/d xd<\/p>\n\n\n\n<p class=\"has-text-align-center has-text-color\" style=\"color:#580000\">Simplify<br>d = 48<br>The actual distance between the two libraries is 48 kilometres.<\/p>\n\n\n\n<p><br>.<\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-group has-primary-color has-text-color has-background has-link-color has-large-font-size wp-elements-0313ede6f927eee8a5e83fe4d3510e83\" style=\"background-color:#e3d7f9\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div class=\"wp-block-group has-background-background-color has-background\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#b00012\"><strong>\ud83d\udd14 On a public transportation map, two stations are 7 centimetres apart, whereas in real life the distance between them is 7 kilometres. What scale does the map use?<\/strong><\/p>\n\n\n\n<p>1 centimetre =&nbsp;_______&nbsp;kilometres<\/p>\n<\/div><\/div>\n\n\n\n<p>Write a ratio that relates the centimetres between the two stations on the map to the<\/p>\n\n\n\n<p>kilometres between the two stations in real life: 7\/7 ,<\/p>\n\n\n\n<p>To find the scale of the map, rewrite this ratio with 1 in the numerator.<\/p>\n\n\n\n<p>7\/7 = 1\/1            Divide the numerator and denominator by 7<\/p>\n\n\n\n<p>The map uses a scale of 1 centimetre = 1 kilometre.<\/p>\n<\/div><\/div>\n\n\n\n<p class=\"has-text-color has-large-font-size\" style=\"color:#d90000\"><strong>Let&#8217;s Practice!<\/strong><\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76289\/419\/961\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-13.png\" alt=\"\" class=\"wp-image-7303\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-13.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-13-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-3-13-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/76332\/984\/539\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-14.png\" alt=\"\" class=\"wp-image-7304\" srcset=\"https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-14.png 500w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-14-300x300.png 300w, https:\/\/9thclass.deltapublications.in\/wp-content\/uploads\/2023\/05\/Worksheet-1-1-2-14-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Scale drawings: word problems Key notes: 1\ufe0f\u20e3 What is a Scale Drawing? \ud83d\udccf\ud83d\udd8c\ufe0f 2\ufe0f\u20e3 Understanding Scale \ud83d\udd0d 3\ufe0f\u20e3 Word Problems with Scale Drawings \ud83d\udcdd\ud83e\udd14 To solve word problems: length\u00a0on\u00a0drawing\/actual\u00a0length = scale\u00a0ratio 4\ufe0f\u20e3 Example Problem \ud83c\udf08 Problem: A garden is 150 m long. On a map, the scale is 1:1000. How long is the garden on<a class=\"more-link\" href=\"https:\/\/9thclass.deltapublications.in\/index.php\/c-7-scale-drawings-word-problems\/\">Continue reading <span class=\"screen-reader-text\">&#8220;C.7 Scale drawings: word problems&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-54","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/54","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=54"}],"version-history":[{"count":20,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/54\/revisions"}],"predecessor-version":[{"id":18266,"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/54\/revisions\/18266"}],"wp:attachment":[{"href":"https:\/\/9thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=54"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}