Question

PLEASE HELP. I HAVE FIVE MINUTES TO ANSWER

If the length of a rectangle is 4x² - x +2, and the width of the rectangle
is 5x - 3, what is the perimeter of the rectangle expressed as a
polynomial?

8x^2-12x+10
8x^2+8x-2
8x^2-12x+10
8x^2-8x+2

Answer 1

• 8x² + 8x - 2

Explanation:

We know that:

• Perimeter of a rectangle = Sum of all its sides
• Length of rectangle = 4x² - x + 2
• Width of rectangle = 5x - 3

To find the perimeter, we need to use the equation "Perimeter of a rectangle = Sum of all its sides".

Solution:

• Perimeter of a rectangle = Sum of all its sides
• => 2[{4x² - x + 2} + {5x - 3}] = Perimeter
• => 2[4x² - x + 2 + 5x - 3] = Perimeter
• => 2[4x² + {-x + 5x} + {2 - 3}]
• => 2[4x² + 4x - 1]
• => 8x² + 8x - 2

Hence, the perimeter of the rectangle is 8x² + 8x - 2.