CAT 1995 | Question: 96

Question

What is the length of the rectangle ABCD?

I. Area of the rectangle is 48 square units

II. Length of the diagonal is 10 units

• A. If the questions can be answered with the help of both the statements but not with the help of either statement itself.
• B. If the question can not be answered even with the help of both the statements.
• C. If the question can be answered with the help $0$ statement $II$ alone
• D. If the question can be answered with the help of statement $I$ alone

Answer 1

This can be solved using both the statements.

As from statement I, we know that L × B = 48 or B = L/48.

From statement II, we have,

L² + B² = 100.(using pythagoras theorem)

or, L² + (L/48)² =100.

L is the only unknown in this equation and can be found out.

L² = 99.95661 = 100

L = 10

Option A is the Correct Answer.