17
QuizMultiple Choice

Modeling and Analyzing Quadratic Functions: Quadratic Equations — Test

Question 17 • Algebra: Concepts and Connections

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
w squared is equal to 3 times 243
B
3 w squared is equal to 3 times 243
C
4 w squared is equal to 243
D
3 w squared is equal to 243

Explanation

The area of a rectangle is length times width. Since the length is 3w and the width is w, its area is (3w)(w) = 3w². Setting this equal to the given area, 243, gives 3w² = 243, which is choice C.

AI-written and checked against the verified answer.

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