SOLUTION: Matt and Mark have a square tree house with side lengths of x meters, they are currently trying to increase the dimensions of the tree house by 5 meters on both sides. As a result
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Question 1114956: Matt and Mark have a square tree house with side lengths of x meters, they are currently trying to increase the dimensions of the tree house by 5 meters on both sides. As a result the area of the new square tree house is 4 times the area of the original tree house. What is the area of the new tree house? Answer by ikleyn(52776) (Show Source):
The condition says
(x+5)^2 = 4x^2
where x is the original dimension of the house.
x^2 + 10x + 25 = 4x^2 ====>
3x^2 - 10x - 25 = 0
x = = .
We are looking for the positive root, which is x = 5.
Answer. The original size of the square house was 5 meters. The extended size is 10 meters.
