SOLUTION: we are interested in demensions of a certain square. a rectangle has length 5 units more than the side of the square and the width half the side of the square. if two areas are equ

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Question 309329: we are interested in demensions of a certain square. a rectangle has length 5 units more than the side of the square and the width half the side of the square. if two areas are equal. What are the squares demensions( w x h)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Square dimensions : s x s
Rectangle dimensions : 5+s x s/2
The area of the square is,
A=s%5E2
The area of the rectangle is,
A=%285%2Bs%29%28s%2F2%29
The areas are equal,
s%5E2=%285%2Bs%29%28s%2F2%29
2s%5E2=5s%2Bs%5E2
s%5E2=5s
s=5