22
QuizMultiple Choice

Polynomial Operations — Test

Question 22 • Algebra II

A 5 inch times 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2 x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

Answer
A
8 x plus 24
B
2 x to the 4th power plus 24
C
4 x plus 12

Explanation

The frame’s dimensions are 5 + 2x inches and 7 + 2x inches. Its perimeter is twice the sum of its length and width: 2[(5 + 2x) + (7 + 2x)] = 24 + 8x. Therefore, the correct choice is A, 8x + 24.

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