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?

Question

Mathematics

Stevenson

27 February, 04:46

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?

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Answers (1)

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Carina Berry · Answer 1

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