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CAT 1995 — QA Question 24

Basics of TrianglesEasy

The sides of a triangle are 5, 12 and 13 units. A rectangle is constructed, which is equal in area to the triangle, and has a width of 10 units. Then the perimeter of the rectangle is

Answer & solution

Correct answer: None of these

  • A

    30 units

  • B

    36 units

  • C

    13 units

  • None of these

Solution

Since 5-12-13 forms a Pythagorean triplet, the triangle under consideration is a right-angled triangle with height 12 and base 5.
So area of the triangle = (12)(12)(5) = 30 sq. units.

If area of the rectangle with width 10 units is 30 sq. units, its length = 3 units.
Hence, its perimeter = 2(10 + 3) = 26 units.

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CAT 1995 QA Q24: The sides of a triangle are 5, 12 and 13 units. A rectangle is constructed, which is equal in area to the tria — Solution | TheCATExam