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The diagonals of a kite are in the ratio 3 : 4 and its area is 150 sq cm. How long is the longer diagonal?

Class 8Kites and TrapeziumsQuadrilaterals

A20 cm
B15 cm
C25 cm
D10 cm

Step-by-Step Solution

Let the diagonals be 3

k

and 4

k

. ½ ×

3 k \times 4 k = 150

→

6 k^{2} = 150

→

k^{2} = 25

→

k = 5

. Diagonals 15 cm and 20 cm.

Answer: A) 20 cm

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