Question

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?

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%