the original plan for mr Harris's house is a rectangle that measures 40ft by 50ft. because of the increase and cost of materials, the square footage is reduced to 1739ft squared. how much will the dimensions be decreased?

Question

Mathematics

Harrison Porter

16 December, 12:58

the original plan for mr Harris's house is a rectangle that measures 40ft by 50ft. because of the increase and cost of materials, the square footage is reduced to 1739ft squared. how much will the dimensions be decreased?

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Answers (1)

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Marina Moses · Answer 1

Answer: The dimesions will be decreased by 13.05%.

Step-by-step explanation:

Hi, we have to calculate the original area.

Area of a rectangle = Length x width

Replacing with the values given:

A = 40x50 = 2000 ft2

Since is reduced to 1739. if we multiply the original area by a the percentage decrease, and subtract that value to the original area, we obtain 1739 ft2.

2000 - (2000x) = 1739

Solving for x

-2000x = 1739 - 2000

-2000x = - 261

x = -261/-2000

x = 0.1305

Multiply by 1000 to obtain the percentage:

0.1305 x 100 = 13.05%