SOLUTION: A rectangle is twice as long as it is wide. If both of its dimensions are increased by 4 m, its area is increased by 88 m^2. Find the dimensions of the original rectangle.

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Question 1111013: A rectangle is twice as long as it is wide. If both of its dimensions are increased by 4 m, its area is increased by 88 m^2. Find the dimensions of the original rectangle.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let width be x
length will be 2 x
Area of rectangle = 2x^2
both dimensions are increased by 4

width = x + 4

length = 2 x + 4

As per the condition

(x+ 4 )*( 2 x+ 4 )= 2 x^2+ 88 )

2 x^2+ 4 x+ 8 x 16 = 2 x^2+ 88

Simplify

12 x= 72
x= 6

width = 6 m

length= 12 m