20
QuizMultiple Choice

Solving Quadratic Equations: Completing the Square — Unit test

Question 20 • Common Core Algebra I 2014 - MA3109 B-CR

A rectangle’s length is three times its width, w. Its area is 243 square units. Which equation can be used to find the width of the rectangle?

Answer
A
w2 = 3(243)
B
3w2 = 243
C
4w2 = 243
D
3w2 = 3(243)

Explanation

The rectangle’s length is 3w and its width is w. Using area = length × width gives (3w)(w) = 243, or 3w² = 243. Therefore, the correct choice is “3w² = 243.”

AI-written and checked against the verified answer.

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