Question

Find the area of a rhombus whose diagonals are of lengths 10 cm and 8 cm

Answer 1

Step-by-step explanation:

Question :-

• Find the area of rhombus whose diagonals measures 10 cm and 8 cm.

To Find :-

• Area of rhombus.

Solution :-

Given :

• Diagonal (1) = 10 cm
• Diagonal (2) = 8 cm

By using the formula,

${\sf{\longrightarrow Area\ of\ rhombus\ =\ \dfrac{1}{2} \times d_1 \times d_2}}$

Where,

• d = length of the diagonals

According to the question, by using the formula, we get :

${\sf{\longrightarrow Area\ of\ rhombus\ =\ \dfrac{1}{2} \times d_1 \times d_2}}$

${\sf{\longrightarrow \dfrac{1}{\cancel2} \times \cancel{10} \times 8}}$

${\sf{\longrightarrow 5 \times 8}}$

${\sf{\longrightarrow 40\ cm^2}}$

$\therefore$ Hence, area of rhombus is 40 cm².

More To Know :-

$\begin{gathered}\boxed{\begin {minipage}{9cm}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {minipage}}\end{gathered}$

Answer 2

Question:

• Find the area of a rhombus whose diagonals are of lengths 10 cm and 8 cm

Given:

• The length of first diagonal ( d₁ ) = 10cm
• The length of second diagonal ( d₂ ) = 8cm

To find:

• The area of the rhombus

Using formula:

• Area of a rhombus = d₁ × d₂ / 2

Required Solution:

• Area of the rhombus is 40cm²

Full Solution:

We know that,

• Area of a rhombus = d₁ × d₂ / 2

Here,

• length of d₁ = 10cm
• length of d₂ = 8cm

Substituting the values,

→ Area of a rhombus = d₁ × d₂/2

→ Area of the rhombus = 10 × 80 / 2

→ Area of the rhombus = 80/2

→ Area of the rhombus = 40cm²

Therefore:

• The area of the rhombus is 40cm²

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