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

Answer:

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