Question

Rectangle ABCD has a length represented by the expression 5x + 1 and a width represented by the expression 3x - 7. Which expression can be used to represent the perimeter of Rectangle ABCD?

Answer 1

The following expression can be used to represent the perimeter of rectangle ABCD: 16x-12

Explanation:

Let l be the length of rectangle and w be the width of rectangle.

Given that:

`l = 5x+1\\w = 3x-7`

The perimeter of a rectangle is given by the expression:

`P = 2(l+w)`

Putting the values of length and width, we get

`P = 2\{(5x+1)+(3x-7)\}\\P = 2\{5x+1+3x-7\}\\P = 2(8x-6)\\P = 16x-12`

Hence,

The following expression can be used to represent the perimeter of rectangle ABCD: 16x-12