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The width of a rectangle measures (3c-9d)(3c−9d) centimeters, and its length measures (8c-2d)(8c−2d) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?


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Answer :

-22d + 22c

Step-by-step explanation:

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The expression for the perimeter of the rectangle is 2(11c - 11d)

Perimeter of a rectangle = 2(length + width)

Length = 3c - 9d

Length = 3c - 9d Width = 8c - 2d

The expression for the perimeter can be expressed thus :

2(3c - 9d + 8c - 2d)

Collect like terms :

2(3c + 8c - 9d - 2d)

2(11c - 11d)

Hence, the expression for the perimeter of the rectangle is 2(11c - 11d)

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