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FLUENCY AND SKILLS PRACTICE

**Name:**

**LESSON 1**
Using Scale to Find Distances (continued)

4. A rectangle has a length of 12 inches and a width of 8 inches. Lexi draws a scale copy of the rectangle using a scale factor of 3. What are the dimensions of the scale copy?

5. Emily works at a horse camp and makes a scale drawing of the barn. The width of a stable in her drawing is 15 inches, and the length is 18 inches. The actual width of the stable is 10 feet. What is the actual length of the stable?

6. There are 10 lanes in the bowling alley where Harold bowls. He wants to make a scale drawing of the bowling alley using a scale of 3 cm to 15 ft. One lane, including gutters, is 60 ft long and 5 ft wide. What will the width of all 10 lanes on his drawing be?

Answer :

4) The dimensions of the scale copy are 36 inches by 24 inches.

5) The actual length of the stable is 12 feet

6) The width of all 10 lanes on his drawing will be 10 cm

4. Given: The original rectangle has dimensions 12 inches (length) by 8 inches (width).

-Scale Factor: 3

To find the dimensions of the scale copy, multiply the original dimensions by the scale factor:

Length of the scale copy: 12 * 3 = 36 inches

Width of the scale copy: 8 * 3 = 24 inches

5. Given: In the drawing, the width is 15 inches, and the length is 18 inches.

Actual Width:10 feet

Find the scale factor by comparing the actual width to the drawing width:

Scale Factor: 10 ft/15 in

Actual Length:10 ft/15 in* 18 in = 12 ft

6. Given:Scale of 3 cm to 15 ft, length of one lane is 60 ft, width of one lane is 5 ft.

Total Width of All Lanes: 10 lanes

Find the width of all 10 lanes in actual feet:

Total Actual Width: 10 *5 ft = 50 ft

Now, use the scale to find the width in the drawing:

Width on Drawing:3 cm/15 ft * 50 ft = 10 cm

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