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+2 votes

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

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

0 votes

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,

L^{2} + B^{2} = 100.(using pythagoras theorem)

or, L^{2} + (L/48)^{2} =100.

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

L^{2 }= 99.95661 = 100

L = 10

**Option A is the Correct Answer.**

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