In a Rhombus, length of the one diagonal is 6 cm, another diagonal is thrice the other.
Then its area is
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Answer:
It is 54 cm²
Step-by-step explanation:
length of one diagonal is 6 cm
length of second diagonal=thrice of the other=18 cm
area 1/2x d1 x d2
=54cm²
Answered by
1
Let one of the diagonals of rhombus be ‘d_1’ cm and the other be d_2 cm.
Give d_1 = 3 x d_2
Also d_1 + d_2 = 24 cm
⇒ d_2 + d_2 = 24
4d_2 = 24
d_2 = 244
d_2 = 6 cm
d_1 = 3 x d2 = 3 x 6
d_1 = 18 cm
∴ Area of the rhombus = 12 x d_1 x d_2 sq. units
= 12 x 18 x 6 cm2 = 54 cm^2
Area of the rhombus = 54 cm^2
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