Question

2) The area of area of arhambus is 48 m2, if one of the diagnals is
the lenght of the other
is 16m find
deagnals​

Answer 1

Appropriate question:

• The area of a rhombus is 48m². If one of the diagonals is 16m. Find the length of the other diagonal.

Given:

• Area of the rhombus = 48m²
• Length of one of the diagonal = 16m

To find:

• Length of the other diagonal.

Solution:

❐ Let the length of the other diagonal be x.

As we know that,

• Area of rhombus = 1/2 × d₁ × d₂

where,

• Area of the rhombus is given that is 48m², d₁ is 16m and d₂ is x. Therefore,

⇒ 48 = 1/2 × 16 × x

⇒ 48 = 8x

⇒ x = 48/8

⇒ x = 6m

Hence, the length of the other diagonal is 6 meter.

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Answer 2

✮ Question :-

• The area of rhombus is 48m², if length of one of the diagonal is 16 cm then find the length of other diagonal.

✮ Given :-

• Area of rhombus = 48m²
• Length of its diagonal = 16 m

✮ To find :-

• Length of the other diagonal

✮ Formula to be used :-

• Area of rhombus = 1/2 × (D₁ × D₂)

✮ Solution :-

Let's substitute the values in formula :-

➯ 48 = 1/2 × ( 16 × D₂)

➯ 48 × 2 = 16 × D₂

➯ 96 / 16 = D₂

➯ D₂ = 6 m

∴ , length of other diagonal = 6 m.