SOLUTION: A rectangle is 4 m longer than it is wide. If the lenght and width are both increased by 5 m, the are is increased by 115 m squared. Find the original dimensions.
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Question 356716: A rectangle is 4 m longer than it is wide. If the lenght and width are both increased by 5 m, the are is increased by 115 m squared. Find the original dimensions. Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! A rectangle is 4 m longer than it is wide. If the lenght and width are both increased by 5 m, the are is increased by 115 m squared. Find the original dimensions.
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let width be x
length = x+4
Area = x(x+4)
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increased by 5
width x+5
length = x+4+5 = x+9
Area = (x+5)(x+9)
...
(x+5)(x+9)-x(x+4) =115
x^2+14x+45-x^2-4x=115
10x+45=115
10x=115-45
10x=70
x=7 the width
length = 11
m.ananth@hotmail.ca
