SOLUTION: I need help on this word problem.
A rectangle is 3cm longer and 2cm narrower than a square with the same area. Find the dimensions of each figure.
Thank you!
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A rectangle is 3cm longer and 2cm narrower than a square with the same area. Find the dimensions of each figure.
Thank you!
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Question 249003: I need help on this word problem.
A rectangle is 3cm longer and 2cm narrower than a square with the same area. Find the dimensions of each figure.
Thank you! Answer by dabanfield(803) (Show Source):
You can put this solution on YOUR website! A rectangle is 3cm longer and 2cm narrower than a square with the same area. Find the dimensions of each figure.
Let x be a side of the square.
The area of the square is x*x = x^2.
The rectangle has dimensions x+3 and x-2.
The area of the rectangle is:
(x+3)*(x-2) = x^2
So:
x^2 + x - 6 = x^2 or
x = 6
Use this value of x to find the dimensions of the rectangle.
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