Answer:
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
