Question

Rectangle ABCD has a length represented by the expression 5x - 1 and a width represented by the expression 3x + 7. Rectangle JKLM has a length represented by the expression 2x - 5 and a width represented by the expression 4x + 11. What expression can be used to represent the sum of the perimeters of rectangle ABCD and rectangle JKLM

Answer 1

28x + 24

Explanation:

The perimeter is calculated as:

P = (length + width) *2

For rectangle ABCD:

P1 = (5x-1+3x+7) * 2

P1 = 16x + 12

For rectangle JKLM

P2 = (2x-5 + 4x+11) * 2

P2 = 12x + 12

The sum of both perimeters:

P1 + P2 = 16x + 12 + 12x + 12

P1 + P2 = 28x + 24