In a rectangle ABCD the base AB is 5/4 of the height BC and the perimeter is 72 cm. What are the dimensions of the rectangle?
A) AB = 20 m; BC = 16 m
B) AB = 12 m; BC = 10 m
C) AB = 10 m; BC = 8 m
D) AB = 20 m; BC = 18 m
E) AB = 18 m; BC = 16 m
IMAT 2025 · Question 52
Q52 - Polygons and their properties
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The correct answer is A) AB = 20 m; BC = 16 m.
Let BC = h, so AB = 5h/4. Half the perimeter is 36:
5h/4 + h = 36 → 9h/4 = 36 → h = 16, and AB = 20.
So the rectangle is 20 by 16. (The question says cm and the options say m, which is a slip in the original paper. The numbers match A.)
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