Question

The lengths of the diagonals of a rhombus are 48cm and 21cm. What is the area of the
rhombus?​

Answer 1

$\Large{\bf{\green{\mathfrak{\dag{\underline{\underline{Given:-}}}}}}}$

• The lengths of the diagonals of a rhombus are 48cm and 21cm.

$\Large{\bf{\orange{\mathfrak{\dag{\underline{\underline{To \: Find:-}}}}}}}$

• The area of the rhombus.

$\Large{\bf{\red{\mathfrak{\dag{\underline{\underline{Solution:-}}}}}}}$

• Lengths of diagonals of rhombus are 48cm and 21cm.

Therefore,

• $\sf d_1$ = 48 cm

• $\sf d_2$ = 21 cm.

We know that,

$\boxed{\pink{\sf Area \: of \: rhombus \: = \: \dfrac{1}{2} \: * \: d_1 \: * \: d_2 \: units^2}}$

Substituting the values,

$\sf Area \: of \: rhombus \: = \: \dfrac{1}{2} \: * \: 48 \: * \: 21 \: cm^2$

$\sf Area \: of \: rhombus \: = \: \dfrac{1}{\cancel{2}} \: * \: \cancel{48} \: * \: 21 \: cm^2$

$\sf Area \: of \: rhombus \: = \: 1 \: * \: 24 \: * \: 21 \: cm^2$

$\sf Area \: of \: rhombus \: = \: 504 \: cm^2$

Therefore,

• $\underline{\boxed{\therefore{\purple{\tt{Area \: of \: rhombus \: = \: 504 \: cm^2.}}}}}$

Answer 2

Given:-

• The lengths of the diagonals of a rhombus are 48 cm and 21 cm.

⠀

To find:-

• The area of the rhombus.

⠀

Solution:-

★ In this question we have given the diagonals of a rhombus. We have to find out the area of the rhombus. Let's do it.

⠀

Here,

• D1 = 48 cm
• D2 = 21 cm

⠀

We know that,

⇢ Area = ½ × D1 × D2

⠀

⇢ Area = ½ × 48 × 21

⇢ Area = ½ × 1008

⇢ Area = 504

⠀

Hence,

• The area of the rhombus is 504 cm².