Similar Shapes and Scale Drawings Worksheet : Show Worksheet given in this section will be much useful for the students who would like to practice solving real-world problems using geometric figures. Similar Shapes and Scale Drawings Worksheet - ProblemsProblem 1 : A blueprint is a technical drawing that usually displays architectural
plans. Pete’s blueprint shows a layout of a house. Every 4 inches in the blueprint represents 3 feet of the actual house. One of the walls in the blueprint is 24 inches long. What is the actual length of the wall ? Problem 2 : David would like to make paint the rectangular shaped wall. The measures of dimensions of the wall is given in the picture using scale factor. In the picture given below,
every 1 inch represents 3 feet of the actual length. If the cost of painting is $2.50 per square feet, find the total cost of painting for the entire wall. Problem 3 : A person that is 5ft tall that casts a shadow of 4ft is standing next to a tree that casts a shadow of 10ft. How
tall is the tree ? Similar shapes and scale drawings worksheet - SolutionProblem 1 : A blueprint is a technical drawing that usually displays architectural plans. Pete’s blueprint shows a layout of a house. Every 4 inches in the blueprint represents 3 feet of the actual house. One of the walls in the blueprint is 24 inches long. What is the actual length of the wall ? Solution : Let "x" be the original length of the wall in feet. Step 1 : Using scale factor, we have 4 inches -----> 3 feet 24 inches -----> x feet Step 2 : Let us proportion to solve for "x" 4 : 3 = 24 : x or 4/3 = 24/x Step 3 : Simplify 4x = (24)(3) x = (24)(3) / 4 x = (6)(3) x = 18 So, the original length of the wall is 18 feet. Problem 2 : David would like to make paint the rectangular shaped wall. The measures of dimensions of the wall is given in the picture using scale factor. In the picture given below, every 1 inch represents 3 feet of the actual length. If the cost of painting is $2.50 per square feet, find the total cost of painting for the entire wall. Solution : Scale factor : 1 in = 3 feet Step 1 : Find the
length of the wall in feet. Length = 8 inches Length = 8 x 3 feet Length = 24 feet Step 2 : Find the width of the wall in feet. Width = 4 inches Width = 4 x 3 feet Width = 12 feet Step 3 : Find area of the wall in square feet. Area of the wall = Length x Width Area of the wall = 24 x 12 Area of the wall = 288 square feet. Step 4 : Find the total cost of painting for the entire wall. Cost of painting per square feet = $2.50 Total cost of painting for the entire wall is equal to area of the wall times $2.50 = 288 x 2.50 = 720 So, the total cost of painting for the entire wall is $720. Problem 3 : A person that is 5ft tall that casts a shadow of 4ft is standing next to a tree that casts a shadow of 10ft. How tall is the tree ? Solution : Let "x" be the height of the tree. Step 1 : In the given picture, two shapes are similar. So, we can have the following proportion using the lengths of the corresponding sides. 4 : 10 = 5 : x or 4/10 = 5/x Step 2 : Simplify 4x = (5)(10) 4x = 50 x = 50/4 x = 12.5 So, the height of the tree is 12.5 feet. Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here. Kindly mail your feedback to We always appreciate your feedback. ©All rights reserved. onlinemath4all.com What is a scale drawing Quizizz?a drawing with scales. is a proportional 2-Dimensional drawing of an object. a monster that has scales.
What is the difference between similar figures shapes and scale drawings?Similar figures thus have the same shape, but not necessarily the same size. Thus a scale drawing of a two-dimensional object, and an enlargement of a plane figure, bith produce figures similar to the original.
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