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QuizMultiple Choice

Polynomial Expressions — Test

Question 1 • Geometry: Concepts and Connections

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
4 x squared plus 24 x plus 35
C
2 x to the 4th power plus 24
D
4 x plus 12

Explanation

The frame’s dimensions are 7 + 2x inches and 5 + 2x inches, since each is 2x inches larger than the corresponding photograph dimension. The perimeter is twice the sum of the dimensions: 2[(7 + 2x) + (5 + 2x)] = 24 + 8x. So the correct choice is 8x plus 24.

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