# CAT 1995 | Question: 96

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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

1. If the questions can be answered with the help of both the statements but not with the help of either statement itself.
2. If the question can not be answered even with the help of both the statements.
3. If the question can be answered with the help $0$ statement $II$ alone
4. If the question can be answered with the help of statement $I$ alone

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.

L= 99.95661 = 100

L = 10

Option A is the Correct Answer.

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