Question 146916
width = w
length = 100 + w
c^2 = a^2 + b^2
500^2 = (w)^2 + (100 + w)^2
250,000 = w^2 + 10,000 + 200w + w^2
0 = 2w^2 + 200w - 240,000
0 = w^2 + 100w - 120,000
w = ( -100 +- sqrt( 10,000 + 480,000 ) ) / 2
w = ( -100 +- sqrt( 490,000 ) ) / 2
w = ( -100 +- 700 ) / 2
w = -800 and w = 300
Length can only be positive. w = 300
length = 100 + 300 = 400
300ft by 400ft