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September 22, 2014

September 22, 2014

Posted by **Ghiffari** on Monday, October 24, 2011 at 8:48pm.

A. The perimeter of the rectangle

B. The length of the side of a square with the same perimeter

If the sum of the areas of the square and the rectangle is 94cm(square), find x

Pls include workings thx

- Math -
**Steve**, Tuesday, October 25, 2011 at 12:24amp = 2(width+length) = 2(x+4+x) = 2(2x+4) = 4x+8

s = p/4 = (4x+8)/4 = x + 2

94 = x(x+4) + (x + 2)^2

94 = x^2 + 4x + x^2 + 4x + 4

94 = 2x^2 + 8x + 4

2x^2 + 8x - 90 = 0

x^2 + 4x - 45 = 0

(x+9)(x-5) = 0

x = 5

rectangle is 5x9; p=28 a=45

square = 7x7; p=28 a=49

45+49 = 94

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