Question

Shellys old living room had a length that was twice its width. When she moved, her new living room was 2 feet longer and 4 feet wider that her old one. If w represents the width of her old living room write the expression used to represent the difference in the area of her old living room and her new living room.

Answer 1

10w+6 is the difference between the two areas

Explanation:

for the old room:

l=2w

wich mean

Area_old=l*w=2w*w=2w²

for the new room:

L=l+2 since l=2w => L=2w+2

W=w+4

so

Area_new=L*W=(w+4)*(2w+2)= 2w² +10w+6

the difference is :

Area_new - Area_old= 10w+6