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The width of a rectangle measures (10p+6)(10p+6) centimeters, and its length measures (2p-10)(2p−10) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Respuesta :

Perimeter of rectangle is 208p² - 160p + 272 centimeters

Given:

Width of rectangle = (10p+6)(10p+6) centimeters

Length of rectangle = (2p-10)(2p−10) centimeters

Find:

Perimeter of rectangle

Computation:

Width of rectangle = (10p+6)(10p+6)

Width of rectangle = 100p² + 120p + 36

Length of rectangle = (2p-10)(2p−10)

Length of rectangle = 4p² - 40p + 100

Perimeter of rectangle = 2(l + b)

Perimeter of rectangle = 2[(4p² - 40p + 100) + (100p² + 120p + 36)]

Perimeter of rectangle = 2[104p² - 80p + 136]

Perimeter of rectangle = 208p² - 160p + 272 centimeters

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