PYQ Vault

Rhombus: area = half product of diagonals, side from half-diagonals

This type of question, asked 5 times: CDS 1 2020, CDS 2 2020, CDS 2 2021, CDS 1 2022, CDS 2 2026. All 5 questions below, oldest first.

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  1. Question 1

    CDS 1 2020

    81
    If the diagonals of a rhombus are xx and yy, then what is its area ?

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  2. Question 2

    CDS 2 2020

    69
    The diagonals of a rhombus differ by 2 units and its perimeter exceeds the sum of the diagonals by 6 units. What is the area of the rhombus ?

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  3. Question 3

    CDS 2 2021

    64
    The area of a rhombus is 336 square cm. If the length of one of its diagonals is 48 cm, then what is the perimeter of the rhombus ?

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  4. Question 4

    CDS 1 2022

    72
    A farmland is in the shape of a rhombus. The perimeter of the land is 100 m and the length of one of the diagonals is 40 m. The land is divided into four equal parts. What is the area of each part?

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  5. Question 5

    CDS 2 2026

    52
    The area of a rhombus is 720 cm2\text{cm}^2 and the sum of its diagonals is 98 cm. What is the perimeter of the rhombus ?

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