Question

The area of rhombus is 240cm2 and one of the diagonal is 16 cm.find the other diagonal​

Answer 1

Answer:

Given :-

• The area of rhombus is 240 cm² and one of the diagonal is 16 cm.

To Find :-

• What is the other diagonal.

Formula Used :-

$\clubsuit$ Area Of Rhombus Formula :

$\bigstar \: \: \sf\boxed{\bold{Area_{(Rhombus)} =\: \dfrac{d_1 \times d_2}{2}}}\: \: \: \bigstar$

where,

• d₁ = One diagonal of Rhombus
• d₂ = Other diagonal of Rhombus

Solution :-

Let,

$\mapsto \bf Other\: Diagonal_{(Rhombus)} =\: d_2$

Given :

• Area of Rhombus = 240 cm²
• One of the diagonal (d₁) = 16 cm

According to the question by using the formula we get,

$\implies \bf Area_{(Rhombus)} =\: \dfrac{d_1 \times d_2}{2}$

$\implies \sf 240 =\: \dfrac{16 \times d_2}{2}$

By doing cross multiplication we get,

$\implies \sf 16 \times d_2 =\: 240(2)$

$\implies \sf 16 \times d_2 =\: 240 \times 2$

$\implies \sf 16 \times d_2 =\: 480$

$\implies \sf d_2 =\: \dfrac{480}{2}$

$\implies \sf\bold{d_2 =\: 30\: cm}$

$\dag$ Required Other Diagonal of Rhombus :

$\dashrightarrow \sf Other\: Diagonal_{(Rhombus)} =\: d_2$

$\dashrightarrow \sf\bold{\underline{Other\: Diagonal_{(Rhombus)} =\: 30\: cm}}$

$\therefore$ The other diagonal of rhombus is 30 cm .