CAT 1997 | Question: 136

Question

In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half the length of the longer side. What is the ratio of the shorter to the longer side?

• A. $3:2$
• B. $1:3$ 
• C. $2:5$ 
• D. $3:4$

Answer 1

Let shorter side be x and longer side be y

Then, (x + y) - $\sqrt{x^{2}+y^{2}}$ = y/2

On solving, we get x/y = 3/4

Hence, option D is correct