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?

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%

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,