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The figure below, not drawn to scale, is made up of a square MNOP and a rectangle PQRS. The length of the square is 6cm. Find the area of the rectangle PQRS.

77. The figure below, not drawn to scale, is made up of a square MNOP and a rectangle PQRS. The length of the square is 6 cm 6 \mathrm{~cm} . Find the area of the rectangle PQRS.

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Full solution

Q. 77. The figure below, not drawn to scale, is made up of a square MNOP and a rectangle PQRS. The length of the square is 6 cm 6 \mathrm{~cm} . Find the area of the rectangle PQRS.
  1. Identify dimensions of MNOP: Identify the dimensions of the square MNOP. Since MNOP is a square and its side length is given as 6 cm6\,\text{cm}, each side of the square is 6 cm6\,\text{cm}.
  2. Determine dimensions for PQRSPQRS: Determine the dimensions needed for the rectangle PQRSPQRS. Assuming PQRSPQRS shares a side with the square (e.g., PQPQ is parallel and equal to MNMN or OPOP), and without additional information, we can't determine the other dimensions of PQRSPQRS. We need the length of RSRS or PQPQ and the width of PSPS or PQRSPQRS00.

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