{"id":21535,"date":"2025-06-15T12:57:27","date_gmt":"2025-06-15T12:57:27","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=21535"},"modified":"2025-06-15T12:57:30","modified_gmt":"2025-06-15T12:57:30","slug":"megan-creates-a-scale-drawing-of-a-car","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/megan-creates-a-scale-drawing-of-a-car\/","title":{"rendered":"Megan creates a scale drawing of a car"},"content":{"rendered":"\n<p>Megan creates a scale drawing of a car. The ratio of her scale drawing length to actual car length is 3 cm: 2 m. The length of the car in her drawing is 6 cm. Ivan draws a scale drawing of the same car. His ratio of scale drawing length to actual car length is 2 cm :1 m. What is the length of the car in Ivan&#8217;s scale drawing?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p>To find the length of the car in Ivan\u2019s scale drawing, we need to:<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Understand Megan&#8217;s scale<\/h3>\n\n\n\n<p>Megan&#8217;s scale is <strong>3 cm : 2 m<\/strong>, which means:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Every 3 cm in her drawing represents 2 meters in real life.<\/li>\n<\/ul>\n\n\n\n<p>She draws the car to be <strong>6 cm<\/strong> long.<\/p>\n\n\n\n<p>To find the <strong>actual length<\/strong> of the car: 6&nbsp;cm3&nbsp;cm=2(twice&nbsp;the&nbsp;scale)\\frac{6 \\text{ cm}}{3 \\text{ cm}} = 2 \\quad \\text{(twice the scale)}<\/p>\n\n\n\n<p>So the actual car length is: 2\u00d72&nbsp;m=4&nbsp;m2 \\times 2 \\text{ m} = 4 \\text{ m}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Use Ivan\u2019s scale<\/h3>\n\n\n\n<p>Ivan uses a scale of <strong>2 cm : 1 m<\/strong>, which means:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Every 1 meter of the real car is represented by 2 cm in the drawing.<\/li>\n<\/ul>\n\n\n\n<p>The actual car length is <strong>4 meters<\/strong>, so in Ivan\u2019s scale: 4&nbsp;m\u00d72&nbsp;cm\/m=8&nbsp;cm4 \\text{ m} \\times 2 \\text{ cm\/m} = 8 \\text{ cm}<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Final Answer:<\/h3>\n\n\n\n<p><strong>8 cm<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83e\udde0 Explanation (300 words):<\/h3>\n\n\n\n<p>Scale drawings are representations of real objects, drawn proportionally smaller or larger than the actual object using a specific ratio. In this problem, Megan and Ivan both drew the same car, but with different scale ratios.<\/p>\n\n\n\n<p>Megan\u2019s scale is <strong>3 cm : 2 m<\/strong>, meaning that for every 3 centimeters in her drawing, the actual object is 2 meters long. Since her drawing of the car is 6 cm, we compare this to the scale: 6\u00f73=2,6 \\div 3 = 2,<\/p>\n\n\n\n<p>so the car is drawn at <strong>twice the scale length<\/strong>, meaning the actual car is: 2\u00d72&nbsp;m=4&nbsp;m.2 \\times 2 \\text{ m} = 4 \\text{ m}.<\/p>\n\n\n\n<p>Now that we know the real car is 4 meters long, we can use Ivan\u2019s scale of <strong>2 cm : 1 m<\/strong>. This ratio means that for every meter of the actual car, Ivan draws 2 centimeters. So: 4&nbsp;m\u00d72&nbsp;cm\/m=8&nbsp;cm.4 \\text{ m} \\times 2 \\text{ cm\/m} = 8 \\text{ cm}.<\/p>\n\n\n\n<p>Thus, Ivan\u2019s drawing of the car should be <strong>8 cm long<\/strong>.<\/p>\n\n\n\n<p>This problem highlights how proportions work in scale drawings. By comparing each scale to the real-life measurement and keeping consistent units, we can move from one person\u2019s drawing to another\u2019s, or to the actual object.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Megan creates a scale drawing of a car. The ratio of her scale drawing length to actual car length is 3 cm: 2 m. The length of the car in her drawing is 6 cm. Ivan draws a scale drawing of the same car. His ratio of scale drawing length to actual car length is [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-21535","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21535","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=21535"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21535\/revisions"}],"predecessor-version":[{"id":21536,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/21535\/revisions\/21536"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=21535"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=21535"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=21535"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}