Question 497872

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.