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in Perimeter and Area of Plane Figures by (30.3k points)
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The perimeter of a rhombus is 60 cm. If one of its diagonal us 18 cm long, find 

(i) the length of the other diagonal, and 

(ii) the area of the rhombus.

1 Answer

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Best answer

Perimeter of a rhombus = 4a     (Here, a is the side of the rhombus)

\(\Rightarrow\) 60 = 4a

\(\Rightarrow\) a = 15 cm

(i) Given:

One of the diagonals is 18 cm long

d1 = 18 cm

Thus, we have:

∴ Length of the other diagonal = 24 cm

(ii) Area of the rhombus = \(\frac{1}{2}d_1\times d_2\)

\(\frac{1}{2}\times 18\times 24\)

= 216 cm2

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