Question

16) The length of the diagonals of a plot of land in the form of a rhombus
are 125 m. and 85 m respectively. Find the area of the plot of land.​

Answer 1

Given :

• Diagonals of rhombus = 125 m and 85 m.

To find :

• the area of the plot of land.

Solution :

→ Let's find the Area of the Plot.

$\sf \longrightarrow Area \: of \: Rhombus = D_1 \times D_2 \times \dfrac{1}{2}$

Here,

• D₁ = 125 m
• D₂ = 85 m

$\sf \longrightarrow Area \: of \: Rhombus = D_1 \times D_2 \times \dfrac{1}{2}$

$\sf \longrightarrow Area \: of \: Rhombus = 125 \times 85 \times \dfrac{1}{2}$

$\sf \longrightarrow Area \: of \: Rhombus = 10625 \times \dfrac{1}{2}$

$\sf \longrightarrow Area \: of \: Rhombus =\dfrac{ 10625 \times 1}{2}$

$\sf \longrightarrow Area \: of \: Rhombus =\dfrac{1062}{2}$

$\sf \longrightarrow Area \: of \: Rhombus = \cancel{ \dfrac{1062}{2} }$

$\sf \longrightarrow Area \: of \: Rhombus = 531$

• Therefore, the Area of Rhombus is 531 m².