Question
The length of the diagonal of a rhombus is 24 cm, and
the perimeter is 80 cm. Find the area of the rhombus.Solution
Let the side of the rhombus be a. Given: Perimeter = 80 cm, so 4a = 80 a = 20 cm. Let the diagonals of the rhombus be d₁ = 24 cm and d₂. We know that the diagonals of a rhombus bisect each other at right angles, so we can use Pythagoras' theorem: a² = (d₁/2)² + (d₂/2)² 20² = (24/2)² + (d₂/2)² 400 = 12² + (d₂/2)² 400 = 144 + (d₂/2)² (d₂/2)² = 256 d₂/2 = 16, so d₂ = 32 cm. Area of the rhombus = 1/2 × d₁ × d₂ Area = 1/2 × 24 × 32 = 384 cm². Correct option: C) 384 cm²
The office of Diwan-i-Insha dealt with which affair in administration?
Which of the following sections of the Representation of the People Act, 1951 is related to the election agents?
Which bacterium is used to turn milk to curd?
- Which of the following country is the highest producer of wheat?
The former Spanish footballer, Antonio Lopez Habas, was the coach at the Hero ISL 2020- 21 of which of the following football teams?
Which of the following algae is also called kelp and found in the deep sea?
Which is the highest peak in the Western Ghats?
If B = 4, C=6, E = 10, then find how J will be written?
Dr.Teejan Bai, a Padma Shri, Padma Bhushan and Padma Vibhushan awardee is globally recognised for her contribution to which of the following art forms?
Who is the promoter of Funskool India Ltd., a company that has acquired the licence to manufacture and distribute action figures of Chhota Bheem and fri...