Question

The area of a garden is 30 square feet. The perimeter is 26 feet. What are the measurements of each side?

Answer 1

So there are two possibilities:

x = 3, y = 10

x = 10, y = 3

Explanation:

Make two equations:

Length = x

Width = y

xy = 30

2x + 2y = 26

You can simplify the second equation to:

x + y = 13

x = 13 - y

(13 - y) * y = 30

13y - y^2 = 30

y^2 - 13y + 30 = 0

Factor:

(y - 3)(y - 10) = 0

y = 3, y = 10

So there are two possibilities:

x = 3, y = 10

x = 10, y = 3