Lesson 7

Scale Drawings

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Problem 1

The Westland Lysander was an aircraft used by the Royal Air Force in the 1930s. Here are some scale drawings that show the top, side, and front views of the Lysander. 

The drawings include a bar that represents 10 feet and a bar that represents 7 meters.

Use the scales and scale drawings to approximate the actual lengths of:

  1. the wingspan of the plane, to the nearest foot

  2. the height of the plane, to the nearest foot

  3. the length of the Lysander Mk. I, to the nearest meter

Solution

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Problem 2

A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. What are the dimensions of this rectangular room in the actual building?

Solution

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Problem 3

Here is a scale map of Lafayette Square, a rectangular garden north of the White House.

The map shows a scale measure that represents 0, 100, and 200 feet.

  1. The scale is shown in the lower right corner. Find the actual side lengths of Lafayette Square in feet.

  2. Use an inch ruler to measure the line segment of the graphic scale. About how many feet does one inch represent on this map?

Solution

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Problem 4

Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units.

  1. How many times larger is the area of of the scaled copy compared to that of Triangle A?

  2. What scale factor did Lin apply to the Triangle A to create the copy?

  3. What is the length of the bottom side of the scaled copy?

Triangle A has a base of 3 and a height of 3.

Solution

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(From Unit 1, Lesson 6.)