Question

If area of rhombus is 240 cm. The length of one diagonal is 16 cm. Find the length of the other diagonal

Answer 1

Step-by-step explanation:

Given:-

area of rhombus is 240 sq.cm. The length of one diagonal is 16 cm.

To find:-

If area of rhombus is 240 sq.cm. The length of one diagonal is 16 cm. Find the length of the other diagonal ?

Solution :-

The length of one diagonal (d1) = 16 cm

Let the length of the other diagonal be d2 cm

We know that

Area of a rhombus whose diagonals d1 and d2 is d1d2/2 sq.units

We have

d1 = 16cm

Area of the rhombus = (16d2)/2 sq.cm

=>8d2 sq.cm

According to the given problem

Area of the given rhombus = 240 sq.cm

=>8d2 = 240

=>d2 = 240/8

=>d2 = 30 cm

The other diagonal = 30 cm

Answer:-

The length of the other diagonal of the given rhombus is 30 cm

Used formula:-

• Area of a rhombus whose diagonals d1 and d2 is d1d2/2 sq.units

Answer 2

Given,

• Area of Rhombus = 240cm²
• The Length Of One Diagonal = 16cm

To Find,

• The Length Of Second Diagonal

Solution,

Let's,

The Length Of Second Diagonal = X

Area of Rhombus = 240cm² •••(Given)

$: \implies \frac{1}{2} \times d_{1} \times d_{2} = 240 {cm}^{2} \\ \\ : \implies \frac{1}{2} \times 16cm \times x = 240 {cm}^{2} \\ \\ : \implies 8cm \times x = 240 {cm}^{2} \\ \\: \implies x = \frac{240 {cm}^{2} }{8cm} \\ \\: \implies x = 30cm$

Required Answer,

The Length Of Second Diagonal = X

The Length Of Second Diagonal = 30cm