Question

the length of rectangular garden is 5 feet longer than the width. If the are of the garden is 50 square feet, find the length and the width of the garden

Answer 1

width = x
length = x + 5

x(x + 5) = 50
x^2 + 5x = 50
x^2 + 5x - 50 = 0
(x + 10)(x - 5) = 0
x = 5 or - 10 (Rejected, length cannot be negative)

x = 5
x + 5 = 5 + 5 = 10

Therefore the width is 5 feet and the length is 10 feet