Question

The width of a rectangle is 5 feet more than 3 times the length. The perimeter is 314 feet. Find the length and the width.

Answer 1

We know that the perimeter of a rectangle is two times the width plus two times de length, therefore the result is:

Length = 38 feet

Width = 119 feet

Step-by-step explanation:

Being width w , the length L and the perimeter P , we have then:

w = 5 feet + 3L (1)

For the perimeter:

P = 2w +2 L (2)

Replacing (2) on (1)

P = 2(5 feet + 3L) +2 L

As we know the perimeter P =314 feet, thus:

P = 2 (5 feet + 3L)+2 L

P = 10 feet + 8 L = =314 feet

Clearing L, we have the length is:

L = 38 feet (3)

Replacing (3) on (1), we have the width is:

w = 119 feet