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 problem equation

Answer 1

Answer:

The dimensions of rectangular fence are 14 feet and 20 feet.

Step-by-step explanation:

We are given the following in the question:

Length of rectangular fence = 14 feet

Width of fence = (14+x) feet

Area of rectangular field = 280 square feet

Area of rectangular field =

$A= \text{Length}\times \text{Width}$

Putting the values, we get,

$280 = 14(14+x)\\\\14 + x = \dfrac{280}{14}\\\\14 + x = 20\\x =20-14\\x = 6$

Thus, the dimensions of rectangular fence are 14 feet and 20 feet.