7
RCMultiple Choice

Quadratic in Form Polynomials — Cumulative exam

Question 7 • GA-Advanced Algebra: Concepts and Connections CR

The length of a rectangle is 6 inches longer than its width. The perimeter of the rectangle is 28 inches. If x represents the width of the rectangle in inches, which equation can be used to find its value?

Answer
A
x + 6 + 2x = 28
B
6x + 6x + x + x = 28
C
2(x + 6) = 28
D
2(x + 6) + 2x = 28

Explanation

The width is x inches, so the length is x + 6 inches. A rectangle’s perimeter is twice its length plus twice its width, giving 2(x + 6) + 2x = 28. Therefore, choice D is the equation that can be used to find the width.

AI-written and checked against the verified answer.

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