CAT 1995 | Question: 59

Question

The sides of a triangle are $5, 12$ and $13$ units respectively. 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

• A. $30$ 
• B. $26$
• C. $13$ 
• D. None of these

Answer 1

ABC forms a right angled triangle since ($12^{2} + 5^{2} = 13^{2}$)

Area of triangle ABC = 0.5 * 12 * 5 = 30

As given in Question  (A rectangle is constructed which is equal in area to the triangle) 

Let L be the length of the rectangle and width of 10 units.

Then , area of rectangle = 30 = 3 * 10 = L * 10

So L = 3 units

Perimeter of rectangle = 2(10 + 3) = 26.

Hence B is the Correct option.