A city planner makes a scale drawing of a proposed playground. The length of the actual playground is 78 feet, and the width is 42 feet. Suppose a scale of 0.5 inch = 6 feet is used. Which dimensions represent the playground on the scale drawing? A) 4.5 inches by 7 inches B) 6.5 inches by 3.5 inches C) 8 inches by 4 inches D) 9.2 inches by 5.5 inches

Question

Mathematics

Nicolas Anderson

13 January, 23:33

A city planner makes a scale drawing of a proposed playground. The length of the actual playground is 78 feet, and the width is 42 feet. Suppose a scale of 0.5 inch = 6 feet is used. Which dimensions represent the playground on the scale drawing? A) 4.5 inches by 7 inches B) 6.5 inches by 3.5 inches C) 8 inches by 4 inches D) 9.2 inches by 5.5 inches

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Answers (2)

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Cyrus Chan · Answer 1

B) 6.5 inches by 3.5 inches

Step-by-step explanation:

Multiplying the actual dimensions by the scale gives the scale dimensions:

(0.5 in) / (6 ft) * {78 ft, 42 ft}

= {39/6 in, 21/6 in}

= {6.5 in, 3.5 in}

The size on the scale drawing is 6.5 inches by 3.5 inches.

Kendall Burgess · Answer 2

Answer: B) 6.5 inches by 3.5 inchesStep-by-step explanation:Multiplying the actual dimensions by the scale gives the scale dimensions: (0.5 in) / (6 ft) * {78 ft, 42 ft} = {39/6 in, 21/6 in} = {6.5 in, 3.5 in}The size on the scale drawing is 6.5 inches by 3.5 inches.