Question

John is building a fence around his home. Currently his fence measures 14 feet on each side but he wants to increase only the width of his fence by x feet to have a rectangular fence that has an area of 280 square feet.Write an equation that can be used to find x then solve your equation

Answer 1

The value of x is 6 feet.

Step-by-step explanation:

• Area of the rectangular fence = 280 square feet.
• The length of the fence = 14 feet
• The width of the fence = (14+x) feet

Area of rectangle = length$\times$width

280 = (14) (14+x)

280/14 =  14+x

20 = 14+x

x = 20-14

x = 6 feet

The width of the rectangular fence is (14+x) = 20 feet.