Matt's current house measures 60.5 feet by 46.5 feet. He decides to rent a smaller house. The dimensions of the smaller house will be related by a scale factor of 0.7.

What is the difference in area between Matt's current house and the new house, in square feet? Round your answer to the nearest square foot.

Question

Mathematics

Mercedes Macias

7 April, 12:59

Matt's current house measures 60.5 feet by 46.5 feet. He decides to rent a smaller house. The dimensions of the smaller house will be related by a scale factor of 0.7.

What is the difference in area between Matt's current house and the new house, in square feet? Round your answer to the nearest square foot.

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Answers (2)

Know the Answer?

Anastasia Austin · Answer 1

60.5*46.5=2813.25

60.5*0.7=42.35

46.5*0.7=32.55

42.35*32.55=1378.4925

2813.25-1378.4925=1434.7575

Answer = 1435 square feet

Ronin Ward · Answer 2

Current house area = 60.5 * 46.5 = 2,813.25 square feet

Smaller House Measures 60.5*.7 (42.35) by 46.5*.7 (32.55)

Smaller House area = 42.35 * 32.55 = 1,378.50 square feet

Difference in square feet = 2,813.25 - 1,378.50 equals

1,434.75 square feet