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QuizMultiple Choice

Scale Drawings and Area

Question 1 • MO-Mathematics

A scale model of a rectangular patio is 6 feet long and 3 feet wide. The actual patio is 15 feet long. What is the area of the actual patio?

Answer
A
37.5 square feet
B
45 square feet
C
112.5 square feet
D
270 square feet

Explanation

The scale factor from the model to the actual patio is 15 ÷ 6 = 2.5. Multiply the model’s width by 2.5 to get the actual width: 3 × 2.5 = 7.5 feet. The actual area is 15 × 7.5 = 112.5 square feet, so the correct choice is 112.5 square feet.

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