SOLUTION: The combined area of a square and a rectangle is 64 square centimeters. The width of the rectangle is 2 cm more than the length of a side of the square and the length of the rectan
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Question 374091: The combined area of a square and a rectangle is 64 square centimeters. The width of the rectangle is 2 cm more than the length of a side of the square and the length of the rectangle is 2 cm more than its width. Find the dimensions of the square and the rectangle.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the measure of a side of the square. Then 
represents the width of the rectangle and \ +\ 2\ =\ x\ +\ 4)
represents the length of the rectangle. The area of the rectangle is therefore (x\ +\ 4)\ =\ x^2\ +\ 6x\ +\ 8)
which, added to the area of the square, 
, equals 64.
Simplify, put in standard form, factor, and solve for .
John
My calculator said it, I believe it, that settles it
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