A table mat is placed on a table. A diagram shows the mat and the uncovered parts of the table. The width of the mat is 13 cm. The uncovered part to the left is 8 cm and to the right is 2 cm. Find the

This problem involves calculating dimensions and areas based on a diagram of a table mat on a table.

Part (a): Find the actual length and width of the mat.

From the diagram:
The vertical dimension of the mat is clearly labeled as $13 \text{ cm}$. This represents the width of the mat.
The horizontal dimension (length) of the mat is not explicitly labeled with a numerical value. The labels $8 \text{ cm}$ and $2 \text{ cm}$ refer to the uncovered parts of the table to the left and right of the mat, respectively.

Since the length of the mat is not provided in the diagram, it cannot be determined from the given information. To proceed, we must assume there is