The width of a rectangle is represented by 5x+2y, and the length is represented by 6y-2x. Write a polynomial that represents the

Question

1 year ago

13

perimeter of the rectangle.

1 answer:

Alinara [238K] · Answer 1 · 2024-07-14T15:21:09+03:00

The polynomial that represents the perimeter of the rectangle is P = 6x + 16y

<h3>What are perimeters?</h3>

The perimeter of a shape is the sum of the side lengths of the shape

For all regular quadrilaterals, you add up the side lengths to determine the perimeter

<h3>How to determine the polynomial that represents the perimeter of the rectangle?</h3>

The given parameters are

Length = 5x + 2y

Width = 6y - 2x

The polynomial that represents the perimeter of the rectangle is represented as

P = 2 * (Length + Width)

Recall that:

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

So, we have

P = 2 * (5x + 2y + 6y - 2x)

Evaluate the like terms

So, we have

P = 2 * (3x + 8y )

Open the brackets

P = 6x + 16y

Hence, the required polynomial is P = 6x + 16y