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Sauron [17]
3 years ago
15

If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 5 meters, the area of the rect

angle that is formed is 69 square meters. find the area of the original square.
Mathematics
1 answer:
ZanzabumX [31]3 years ago
4 0
<span>Let y= original side So A = LW 60 = (y+15)(y-13) (y+15)(y-13) = 60 y^2 + 2y - 195 = 60 y^2 + 2y- 195 - 60 = 0 y = -17 or y= 15 Toss out the negative solution to get y= 15 as the only solution. So the square has a side length of 15 meters. The area of this square is 15^2 = 15*15 = 225 square meters.</span>
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Let us put the given equation in this form and then compare with the general form of the quadratic equation.

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