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The length of a
rectangle is represented by
4a + 3b, and its width is
represented by 7a – 2b. Write
a polynomial for the perimeter
of the rectangle.

Respuesta :

Solution:

Given:

  • Length of rectangle = 4a + 3b
  • Width of rectangle = 7a - 2b
  • Perimeter of rectangle = 2W + 2L

Let's simplify the perimeter of the rectangle by using the expression for the perimeter.

  • => 2W + 2L
  • => 2(7a - 2b) + 2(4a + 3b)
  • => 14a - 4b + 8a + 6b
  • => 22a + 2b

Hence, the polynomial that represents the perimeter of the rectangle is 22a + 2b.

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