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In the given figure, PQRS is a square of side 2 cm and PLMN is a rectangle. The corner L of the rectangle is on the side QR. Side MN of the rectangle passes through the corner S of the square. What is the area (in cm²) of the rectangle PLMN? Note: The figure shown is representative.

1. 2√2
2. 2
3. 8
4. 4

Correct answer: 4

Solution

The area of rectangle PLMN is calculated by multiplying its length and width. Given that one side of the rectangle is aligned with the side of the square and the other side extends to the corner S, the dimensions of the rectangle can be determined to be 2 cm by 2 cm, resulting in an area of 4 cm².

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