A football pitch has a length of the xm. Its width is 25m shorter than the length. The area of the pitch is 2200m2. Show that x2 - 25x - 2200 =0 and work out the length of the football pitch.
Draw rectangle with length x and width (x - 25)show that area = length * width = x(x -25) = x2 - 25xx2 - 25x = 2200x2 - 25x -2200 = 0This cannot be factorised therefore must use quadratic equation: x = [-b +(/-) srt(b2 - 4ac)]/2ax = [25 + srt(25sq - 41(-2000))]/2 AND x = [25 - srt(25sq - 41(-2000))]/2x = –36.04 and 61.04 State that x = 61.04 since x cannot be < 0
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