Question

The length of rectangular garden is 3 feet longer than the width. If the area of the garden is 40 square feet, find the length and width of the garden.
The length is _____________ ft

The width is ______________ ft

Answer 1

Answer:

length = 8 ft

width = 5 ft

Step-by-step explanation:

width = w

length = w + 3

Area of rectangular garden = 40 square feet

length  *width = 40

(w + 3) *w = 40

w*w + 3*w = 40

w² + 3w = 40

w² + 3w - 40 = 0

w² + 8w - 5w - 8*5 = 0

w(w + 8) - 5 (w +8) =0

(w + 8) (w - 5) = 0

w - 5 = 0       {Ignore w + 8 =0, as measurement will not be in -ve}

w = 5 ft

l = 5 + 3

l = 8 ft