Question

the area of rhombus is 225 cm2 .if one of the diagonals is 25 cm find the lenght of the other diagonals​

Answer 1

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★ The area of rhombus is 225 cm². If one of the diagonals is 25 cm. Find the length of the other diagonals.

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$\mathtt{\large{\underline{\pink{Given :-}}}}$

• The area of rhombus is 225 cm².

• If one of the diagonal is 25 cm.

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• The length of the other diagonal.

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According to the question,

We have ,

• area = 225 cm²

• digonal = 25 cm

We know that area of a rhombus is , half the the product of length of digonals

Area of rhombus = $\dfrac{1}{2 }$ × d1 × d2

➝ Area of rhombus = $\dfrac{1}{2 }$ × 25 × d2

➝ 225 cm² = $\dfrac{1}{2 }$ × 25 × d2

➝ d2 = $\dfrac{225 \times 2}{25}$

➝ d2 = $\cancel{\dfrac{450}{25}}$

➝ d2 = 18 cm.

The length of the other diagonal is 18 cm .

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Answer 2

Answer:

The other diagonal of the rhombus given that the area of the rhombus is 225 cm² and the diagonal is 25cm is 18cm.

Given:

A rhombus of area 225 cm² and diagonal 25cm.

To find:

The length of the other diagonal of the rhombus.

Solution:

We know that the area of the rhombus, which is given by

Area of rhombus = 1/2(d₁ x d₂)

225 = 1/2(25 x d₂)

450 = 25d₂

d₂ = 450/25

d₂ = 18cm

Therefore, the length of the diagonal of the rhombus is 18cm.

In this way, the length of the other diagonal could be found if the length of the diagonal and its area is mentioned.

To know more about the properties of Rhombus, click below:

https://brainly.in/question/54134591

To know more about parallelograms, click below:

https://brainly.in/question/777600

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