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The width of a rectangle measures (9p+7)(9p+7) centimeters, and its length measures (p+10)(p+10) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
10p+1710p+17
22+32p22+32p
16p+1116p+11
20p+3420p+34

Sagot :

akposevictor

The expression that represents the perimeter of the rectangle is: (164p² + 292p + 298) cm.

What is the Perimeter of a Rectangle?

Perimeter of rectangle = 2(length + width).

Given:

  • Length = (p+10)(p+10)  cm
  • Width = (9p+7)(9p+7) cm

Thus:

Perimeter = 2[(p+10)(p+10) + (9p+7)(9p+7)]

Perimeter = 2(p² + 20p + 100 + 81p² + 126p + 49)

Add like terms

Perimeter = 2(82p² + 146p + 149)

Perimeter = 164p² + 292p + 298

Thus, the expression that represents the perimeter of the rectangle is: (164p² + 292p + 298) cm.

Learn more about the perimeter of rectangle on:

https://brainly.com/question/24571594

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