Question

A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20%, what is the change in the area of the rectangle?

A.
measurements of all angles
B.
measurements of any two angles
C.
measurement of one angle and length of one side
D.
lengths of any two sides

Answer 1

The area remains the same

Explanation:

First find the area of the original rectangle

A = l*w = 12*5 = 60 ft^2

Increase the length by 25%

12 + 12*25% = 12 +12*.25= 12+3 = 15

Decrease the width by 20

5 -5*20% = 5-5*.2 = 5-1 = 4

The new area is

A = l*w = 15*4 = 60ft^2