Area of a rhombus is $60 {cm}^{2} .$ Find the length of a diagonal if the length of the other diagonal is 10 cm.

6cm

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12cm

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15cm

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24cm

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Solution

The correct option is B 12cm
$Area of a rhombus = \frac{1}{2} \times d_{1} \times d_{2},$ where $d_{1}$ and $d_{2}$ are diagonals of the rhombus.
Let $d_{1} = 10 cm .$
Then, $60 = \frac{1}{2} \times 10 \times d_{2}$
$⟹ d_{2} = \frac{60 \times 2}{10} = \frac{120}{10} = 12 cm$

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Area of a rhombus is 60 cm2. Find the length of a diagonal if the length of the other diagonal is 10 cm.

The correct option is B 12cmArea of a rhombus=12×d1×d2, where d1 and d2 are diagonals of the rhombus. Let d1=10 cm. Then, 60=12×10×d2 ⟹d2=60×210=12010=12 cm

Area of a rhombus is $60 {cm}^{2} .$ Find the length of a diagonal if the length of the other diagonal is 10 cm.

The correct option is B 12cm
$Area of a rhombus = \frac{1}{2} \times d_{1} \times d_{2},$ where $d_{1}$ and $d_{2}$ are diagonals of the rhombus.
Let $d_{1} = 10 cm .$
Then, $60 = \frac{1}{2} \times 10 \times d_{2}$
$⟹ d_{2} = \frac{60 \times 2}{10} = \frac{120}{10} = 12 cm$