CAT 1995 — QA Question 24
Direction: Answer the questions based on the following information.
Four sisters — Suvarna, Tara, Uma and Vibha are playing a game such that the loser doubles the money of each of the other players from her share. They played four games and each sister lost one game in alphabetical order. At the end of fourth game, each sister had Rs.32.
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
- A
30 units
- B
36 units
- C
13 units
None of these
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)(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.