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

Answer:

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

Step-by-step 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