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

Question

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] · Answer 1 · 2022-01-08T19:10:57+03:00

<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>