2
QuizMultiple Choice

Perimeter of Composite Figures

Question 2 • Mathematical Models with Applications - MA4072 CR

The perimeter of a rectangle is 72 centimeters. The base is 3 times the height. What are the dimensions of the rectangle?

Answer
A
h = 9cm, b = 30 cm
B
h = 19 cm, b = 10 cm
C
h = 9 cm, b = 27 cm
D
h = 10 cm, b = 15 cm

Explanation

A rectangle’s perimeter is 2(base + height), so 2(b + h) = 72 and b + h = 36. Since the base is 3 times the height, b = 3h; therefore, 4h = 36, giving h = 9 cm and b = 27 cm. The correct choice is the one with height 9 cm and base 27 cm.

AI-written and checked against the verified answer.

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