5
QuizMultiple Choice

Scale Drawings and Area

Question 5 • SSCR 26 Math Essentials A

A scale model of a rectangular building lot measures 7 feet by 5 feet. If the actual house will be built using a scale factor of 12, what is the area of the actual building lot?

Answer
3
35 square feet
4
420 square feet
8
840 square feet
5
5,040 square feet

Explanation

The model’s area is 7 × 5 = 35 square feet. A scale factor of 12 multiplies each length by 12, so the area is multiplied by 12² = 144. Thus, the actual lot’s area is 35 × 144 = 5,040 square feet, which is choice D.

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