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The perimeter of a parallelogram is 60 cm, and the ratio of the length and breadth of the parallelogram is 3:2, respectively. If the area of a right-a
Question


The perimeter of a parallelogram is 60 cm, and the ratio of the length and breadth of the parallelogram is 3:2, respectively. If the area of a right-angled triangle is 135 sq. cm and the base of the triangle is equal to the length of the parallelogram, then find the height of the triangle.

A.

15

B.

11

C.

18

D.

10

E.

None of these

Correct option is A


Let the length and breadth of the parallelogram be 3a and 2a, respectively.
ATQ,
2(3a+2a)=60
5a=30
a=6
The base of the triangle = 3a = 18 cm
Let the height of the triangle be h cm
1/2×h×18=135
h=15

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