Question

The area of rhombus is 320 cm2

and one of the diagonals is 16 cm. Find the other

diagon​

Answer 1

Solution -

We have,

• Area of a rhombus = 320 cm²
• One diagonal of the rhombus is 16cm.

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We have to find the other diagonal. Firstly, consider

• $\sf{d_1 = 16}$
• $\sf{d_2 = ?}$

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Area of a rhombus is given by

$\large{\bf{\longmapsto{\boxed{\pink{Area= \dfrac{1}{2} \times d_1 \times d_2}}}}}$

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Putting values

$\tt:\implies\: \: \: \: \: \: \: \: {\dfrac{1}{2} \times d_1 \times d_2 = 320}$

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$\tt:\implies\: \: \: \: \: \: \: \: {\dfrac{1}{2} \times 16 \times d_2 = 320}$

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$\tt:\implies\: \: \: \: \: \: \: \: {8 \times d_2 = 320}$

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$\tt:\implies\: \: \: \: \: \: \: \: {d_2 = \dfrac{320}{8}}$

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$\frak:\implies\: \: \: \: \: \: \: \: {\purple{d_2 = 40}}$

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$\small\underline{\sf{Hence,\: other\: diagonal\: of\: the\: rhombus\: is\: 40cm.}}$

Answer 2

A N S W E R :

• Other diagonal of the rhombus is 40 cm.

Given :

• Area of rhombus is 320 cm²
• One diagonal of the rhombus is 16 cm

To find :

• Find the other diagonal ?

Solution :

• Area of a rhombus = 320 cm²

As we know that,

Formula Used :

★ Area = 1/2 × d_1 × d_2

=> 1/2 × d_1 × d_2 = 320

=> 1/2 × 16 × d_2 = 320

=> 16/2 × d_2 = 320

=> 8 × d_2 = 320

=> d_2 = 320/8

=> d_2 = 40

Hence,

• Other diagonal of the rhombus is 40 cm.