Question

(Put 100 points on this and am willing to give brainliest) Write and solve an equation for the situation.

The perimeter of a parallelogram is 56 meters. The width of the parallelogram is 8 meters less than its length. Find the length and the width of the parallelogram.

Answer 1

Answer:

Length L = 18 m

Width W = 10 m

Step-by-step explanation:

perimeter P = 2L + 2W

where

Perimeter P = 56 m

Width W = L - 8 m

find:

length L

width W

solution:

just plugin the values into the formula:

P = 2L + 2W

56 = 2L + 2(L - 8)

56 = 2L + 2L - 16

56 + 16 = 4L

L = 72/4

L = 18 m

solve for W:

substitute L=18 back into the equation W=L-8

W = 18 - 8

W = 10 m

therefore:

length L = 18 m

Width W = 10 m

proof:

56 = 2(18) + 2(10)

56 = 36 + 20

56 = 56 ----- OK