Tim wants to build a rectangular fence around his yard. He has 42 feet of fencing. If he wants the length to be twice the width, what is the largest possible length? Write an equation and solve.

Rectangular fence dimensions:

x = 14 ft

w = 7  ft

A  = 98 ft²

Step-by-step explanation:

Rectangular fence dimensions:

x   length      and     w  width

Then   x  =  2*w      ⇒     w = x/2

Perimeter is

p = 2*x + 2*w

p = 2*x + 2* x/2

p = 2*x + x

3*x = 42

x = 14  ft      and     w = 14/2      ⇒     w = 7  ft