Question 58

The area of a rhombus is 300 cm$$^2$$. If the length of one of the diagonals of the rhombus is 30 cm, then what is the length (in cm) of the second diagonal?

Solution

The area of rhombus is given as Area= $$\frac{{D_{1}}{D_{2}}}{2}$$,

where $$D_{1}$$ and $$D_{2}$$ are the diagonals of the rhombus.

So, given area=300 and one of the diagonal let $$D_{1}$$=30

From the formula we get, 300= $$\frac{{30}{D_{2}}}{2}$$

$$\Rightarrow$$ $$D_{2}$$=20.

Hence the length of the another diagonal is 20.

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