SOLUTION: a rectangle and a square have the same width but the rectangle in 6m longer than the square. Their total area is 176 sq. m. Find the dimensions of each figure

Question 497872: a rectangle and a square have the same width but the rectangle in 6m longer than the square. Their total area is 176 sq. m. Find the dimensions of each figure
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!

The area of the square is x^2.
The area of the rectangle is (x)*(x+6)
x^2 + (x) *(x + 6) = 176
x^2 + x^2 + 6x = 176
2x^2 + 6x - 176
2(x + 3 - 88)
(x - 8)(x+ 11)
x = 8.
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For the square, the area is:
8*8= 64 sq meters.
For the rectangle, the area is:
8*14 = 112 sq meters.
64 + 84 = 176 square meters. This does check.
Cleomenius.

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