Question

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.

Answer 1

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.