SOLUTION: Rectangle ABCD has a length represented by the expression 2x-3 and a width represented by the expression 4x-5. Rectangle PQRS has a length represented by the expression x-1 and a w

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Question 1094010: Rectangle ABCD has a length represented by the expression 2x-3 and a width represented by the expression 4x-5. Rectangle PQRS has a length represented by the expression x-1 and a width represented by the expression 3x+2. Which of the following expressions can be used to represent the difference in the perimeters of Rectangle ABCD and Rectangle PQRS?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
first rectangle:

L = 2x-3
W = 4x-5
P = 2L + 2W = (4x-6) + (8x-10) = 4x-6+8x-10 = (12x-16)

second rectangle:

L = x-1
W = 3x+2
P = 2L + 2W = (2x-2) + (6x+4) = 2x-2+6x+4 = (8x+2)

difference is:

(12x-16) - (8x+2) = 12x-16-8x-2 = 4x-18

that should be your answer.