The length of a rectangle is three times the width. the parameter is 240 inches. find the length and width

L = 90 inches

W = 30 inches

Step-by-step explanation:

Give the length of a rectangle L is three times the width

That's

L = 3w

And perimeter = 240 inches

Recall that the perimeter of a rectangle is given by

P = 2 (L + W)

L = 3w

We now have two equations

Now substitute 3w for L in The above formula and 240 for P.

We have

240 = 2 (3w + w)

Distribute 2 into (3w + w)

240 = 2 x 3w + 2 x w

240 = 6w + 2w

240 = 8w

Divide both sides by 8

240/8 = 8w/8

30 = w

W = 30inches

Now substitute 30 for w into either of the above equations to get L.

Using

L = 3w

L = 3 x 30

L = 90 inches

L = 90 inches and

W = 30 inches