Question

Solve the sums.
The area of rhombus is 120 cm² and one of the diagonals is 8 cm. Find the other
diagonal.
​

Answer 1

Using the formula

A=pq/2

Solving for p

p=2A/q

=2·120/8

=30cm

Answer 2

Answer :-

• The Other Diagonal = 30 cm.

Explanation :-

Given :

• Area of Rhombus = 120 sq. cm.

• One Diagonal = 8 cm.

To Find :

• The Other Diagonal.

Solution :

We know that,

Area of Diagonal = (d₁ × d₂)/2.

Here,

• d₁ = First Diagonal.
• d₂ = Second Diagonal.

➞ (8 × d₂)/2 = 120 sq. cm.

➞ 8d₂ = 120 × 2 sq. cm.

➞ 8d₂ = 240 sq. cm.

➞ d₂ = 240 ÷ 8.

➞ d₂ = 30 cm.

Therefore, The Other Diagonal = 30 cm.

Verification :

➞ Area of Diagonal = (d₁ × d₂)/2.

➞ (8 × 30)/2 = 120 sq. cm.

➞ 240 ÷ 2 = 120 sq. cm.

➞ 120 sq. cm = 120 sq. cm.

LHS = RHS.

Hence, Verified.