Question

Write a SIMPLIFIED expression that represents the perimeter of a rectangle who has a length of 4x + 7 and a width of 5x - 4.

Answer 1

I think 18x +6 sorry if I’m wrong

Answer 2

18x + 6

Explanation:

In a rectangle, the opposite side lengths are congruent and have the same measurement. In solving the perimeter, add all sides together:

(4x + 7) + (4x + 7) + (5x - 4) + (5x - 4)

Combine like terms (terms with the same variable, as well as same amount of variable):

(4x + 4x + 5x + 5x) + (7 + 7 - 4 - 4)

(8x + 10x) + (14 - 8)

18x + 6

18x + 6 is your simplified expression that represents the perimeter of the rectangle.

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