Question

A rectangular garden has an area of 60 squared feet. The garden is 4 feet longer than it is wide. Which equation can be used to determine the length and width of the garden?

Answer 1

Answer: See explanation

Explanation:

Let the width be x

Then, the length will be x+4

Area = Length × Width

Therefore,

x × (x+4) = 60

x² + 4x = 60

x² + 4x - 60 = 0

x² + 10x - 6x - 60 = 0

x(x + 10) - 6(x + 10) = 0

(x - 6)(x + 10) = 0

x - 6 = 0

x = 6

The width is 6feet

Length = 6+4 = 10 feet