Problema Solution

A person wishes to build a rectangular fence that will enclose an area of 317 square feet. The width

of the fence is to be 3 feet less than twice its length. Set up and solve an algebraic equation to find the

dimensions of the fence to the nearest tenth of a foot.

Answer provided by our tutors

Let

Length = x, x>=0

Width = 2x - 3

A = 317 ft^2 is the area

Since A = width*length we have:

A = x(2x - 3)

x(2x - 3) = 317

........

click here to see the equation solved for x

........

x = 13.4 ft

2*13.4 - 3 = 23.8 ft

The dimensions of the fence are 13.4 feet and 23.8 feet.