Answer:
height = 20 yards and base = 25 yards.
Step-by-step explanation:
let the height = x yards.
base = (5 + x) yards.
area = 250 square yards
Area = 1/2 bh
250 = 1/2 × (x)(5+x)
250 × 2 = 5x + x2
500 = x2 + 5x
x2 + 5x - 500 = 0
factorizing:
(x + 25)(x - 20) = 0
x = -25 or 20
but length cannot be negative,
hence x = 20 yards.
height = 20 yards
base = (5 + 20) = 25 yards.
