SOLUTION: A rectangle and a square have the same width, but the rectangle is 5m longer than the square. Their total area 133m2. Find the dimensions of each figure. Choices for the square'

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Question 212325This question is from textbook
: A rectangle and a square have the same width, but the rectangle is 5m longer than the square. Their total area 133m2. Find the dimensions of each figure. Choices for the square's width are 6,7,8. This question is from textbook

Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=side length of the square=width of the rectangle
Then x+5=length of the rectangle
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The area of the square is x(x)
The area of the rectangle is x(x+5)
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We have the equation:
x(x)+x(x+5)=133
x(x+x+5)=133
x(2x+5)=133
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But, 133=7(19) its only factors
Coincidentally, if x=7, 2x+5=2(7)+5=14+5=19
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So x=7 m