# The area of the rectangle is 48 cm2. What is the length and width of a rectangle if the length is 3 times its width?

January 28, 2021 | education

| Let the width of the rectangle be x (x) cm, then the length is (x • 3) cm. Substitute these values of the width and length in the formula for finding the area (S = a • b) and solve the equation:

x • x • 3 = 48;

x² • 3 = 48;

x² = 48: 3;

x² = 16;

x = √16;

(1) x = 4

(2) x = – 4 – does not satisfy the condition of the problem, since the width cannot have a negative value.

Let’s calculate the length: x • 3 = 4 • 3 = 12 (cm).

Answer: the width of the rectangle is 4 cm and the length is 12 cm.

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