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CAT 2018 Slot 2 — QA Question 17

Basics of QuadrilateralsEasy

A parallelogram ABCD has area 48 sqcm. If the length of CD is 8 cm and that of AD is s cm, then which one of the following is necessarily true?

Answer & solution

  • A

    s ≠ 6

  • s ≥ 6

  • C

    5 ≤ s ≤ 7

  • D

    s ≤ 6

Solution

 
Area of parallelogram = Base × Height

∴ 48 = 8 × Height

∴ Height = 6 cm

If the parallelogram is a rectangle, AD is its height. In that case, s = 6.

Otherwise, using Pythagoras theorem, AD > 6 or s > 6.

Therefore, s ≥ 6.

Hence, option (b).

CAT 2018 Slot 2 QA Q17: A parallelogram ABCD has area 48 sqcm. If the length of CD is 8 cm and that of AD is s cm, then which one of t — Solution | TheCATExam