Question

The diagonals of a rhombus are 12m and 18 m. Find its area​

Answer 1

Answer:

Answer

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Given,

Diagonals of the rhombus are d

1

=16cm and d

2

=12cm

(i) Area =

2

d

1

×d

2

=

2

16×12

=96cm

2

(ii) As the diagonals of a rhombus bisect each other at right angles, we have

AO=OC and BO=OD

⇒AO=

2

16

=8cm and BO=

2

12

=6cm

Now, in right △AOB

AB

2

=AO

2

+BO

2

⇒AB

2

=8

2

+6

2

=64+36=100

⇒AB=10cm

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Question :-

• The diagonals of a rhombus are 12 m and 18 m respectively. Find it's area.

To Find :-

• Area of rhombus.

Solution :-

Given :

• Diagonal (1) = 12 m
• Diagonal (2) = 18 m

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 :

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

${\sf{\longrightarrow \dfrac{1}{\cancel2} \times \cancel{12} \times 18}}$

${\sf{\longrightarrow 6 \times 18}}$

${\sf{\longrightarrow 108\ cm^2}}$

$\therefore$ Hence, area of rhombus is 108 cm².

More To Know :-

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