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galben [10]
3 years ago
5

The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than its length. Write an equatio

n that could be used to find the length of the parallelogram. (Remember: the perimeter of a rectangle is the sum of the lengths of its sides or P=2L + 2W)
Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0

Answer:

L= 16 m

W= 12 m

Step-by-step explanation:

let us define the parameters of the parallelogram

let the length be L

and the width be W

given that the W= L-4

perimeter= 72 meters

We know that the perimeter of a parallelogram is given as

P=2L + 2W

Substituting W= L-4 for W we have

72=2L + 2(L-4)\\\\72= 2L+2L-8 \\\\72= 4L-8\\\\4L= 72-8\\\\4L= 64

Divide both sides by 4 we have

L= 64/4\\\\L= 16 m

From w= L-4 we can find w by setting L= 16

W= 16-4

W= 12 m

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some friends went to a local movie theater and bought four large buckets of popcorn and six boxes of candy.The total for the sna
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