The area of a rectangle is 120 square meters. If the length is twice the width,

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Question: The area of a rectangle is 120 square meters. If the length is twice the width, what is the width of the rectangle in meters?

Options:

Correct Answer: 8

Solution:

Let width = x; length = 2x; Area = length × width = 2x × x = 120; 2x² = 120; x² = 60; x = √60 ≈ 7.75 (not an option).

The area of a rectangle is 120 square meters. If the length is twice the width, what is the width of the rectangle in meters?

The area of a rectangle is 120 square meters. If the length is twice the width, what is the width of the rectangle in meters?

Area of a Rectangle – Understanding the formula for the area of a rectangle (Area = length × width) and how to manipulate it with given relationships between length and width.
Algebraic Manipulation – Solving equations involving variables, particularly quadratic equations derived from area calculations.
Understanding Dimensions – Interpreting the relationship between length and width, especially when one dimension is expressed in terms of another.