A rectangular room twice as long as it is wide would contain 160 square feet more if each side were one foot longer. what is the

Question

olganol [36]

4 years ago

5

A rectangular room twice as long as it is wide would contain 160 square feet more if each side were one foot longer. what is the

length of the room?

Mathematics

1 answer:

Blababa [14] · Answer 1 · 2021-11-12T14:50:27+03:00

Blababa [14]4 years ago

7 0

Length= 2*width

area=l*w=2*width*width=2*width^2
area+160=(2*width+1)*(width+1)
A+160=2w^2+2w+w+1
A+160=2w^2+3w+1
putting value of a
2w^2+160=2w^2+3w+1
160=3w+1
w=53m
l=106m