Question

The area of rhombus is 360sq.cm. and one of the diagonals is 18cm Find the other
diagonal
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Answer 1

GiveN :-

• Area of the rhombus = 360 cm²

• One of the diagonal = 18 cm

To FinD :-

• Other diagonal of the rhombus

SolutioN :-

Area of the rhombus is :

$: \implies \boxed{\bf \green {Area = \frac{1}{2} \times d_1 \times d_2} }\\ \\ : \implies \sf 360 = \frac{1}{2} \times 18 \times d_2 \\ \\ : \implies \sf 360 = 9d_2 \\ \\ : \implies \sf d_2 = \frac{360}{9} \\ \\ : \implies \boxed{\sf d_2 = 40}$

$\therefore \underline{ \bf \blue {Other \: diagonal \: of \: rhombus \: is \: 40 \: cm}}$

Answer 2

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Question:-

• The area of rhombus is 360sq.cm. and one of the diagonals is 18cm Find the other diagonal

$\text{\large\underline{\red{Given:-}}}$

• Area of the rhombus = 360 cm²
• One of the diagonal = 18 cm

$\text{\large\underline{\pink{To Find-}}}$

• Other diagonal of the rhombus

Explaination:-

Area of the rhombus is :-

$\begin{gathered} : \implies \boxed{\bf \purple{Area = \frac{1}{2} \times d_1 \times d_2} }\\ \\ : \implies \sf 360 = \frac{1}{2} \times 18 \times d_2 \\ \\ : \implies \sf 360 = 9d_2 \\ \\ : \implies \sf d_2 = \frac{360}{9} \\ \\ : \implies \boxed{\sf d_2 = 40}\end{gathered}$

Other diagonal of rhombus is 40cm

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