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m7i2ssmlillyadre m7i2ssmlillyadre
  • 20-02-2017
  • Mathematics
Answered

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?

Verified Answer :

sheheryar91
sheheryar91 sheheryar91
  • 20-02-2017

length= 2width

area=lw=2widthwidth=2width^2
area+160=(2width+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

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