Math Problem Statement
A rectangle’s width is one-fourth of its length. Its area is 9 square units. The equation l(l) = 9 can be used to find l, the length of the rectangle.
What is the length of the rectangle?
0.75 units 1.5 units 3 units 6 units
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Algebra
Formulas
Area of a rectangle: A = l × w
Width in terms of length: w = l / 4
Quadratic equation: l^2 / 4 = 9
Theorems
Solving quadratic equations
Relationship between area and dimensions of a rectangle
Suitable Grade Level
Grades 6-8
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