PYQ Vault
EbooksTutor

Parallelogram with given angle, area and integer sides: possible sides and perimeter

This type of question, asked 2 times: CDS 2 2025, CDS 2 2026. All 2 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2025

    86
    A Question is given followed by two Statements I and II. Consider the Question and the Statements. Question : ABCDABCD is a parallelogram with ∠ABC=60∘\angle ABC = 60^\circ. If the area of the parallelogram is 737\sqrt{3} square units, then what is the perimeter of the parallelogram? Statement-I : The lengths of the sides ABAB and DADA are prime numbers. Statement-II : The lengths of the sides are natural numbers each greater than 1 unit. Which one of the following is correct in respect of the above Question and the Statements?

    Tap an option to check your answer.

  2. Question 2

    CDS 2 2026

    78
    ABCD is a parallelogram with ∠ABC=150∘\angle ABC = 150^\circ and the sides have integer values. If the area of the parallelogram is 17.5 cm2\text{cm}^2, then consider the following statements : I. It is possible to have a perimeter equal to 24 cm. II. It is possible to have a perimeter equal to 72 cm. Which of the statements given above is/are correct ?

    Tap an option to check your answer.