Questions: Find the perimeter and area of a rectangle of cardboard measuring 9.5 cm by 12.1 cm Perimeter: cm Area: cm²

Find the perimeter and area of a rectangle of cardboard measuring 9.5 cm by 12.1 cm Perimeter: cm Area: cm²

Solution

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Solution Steps

To find the perimeter of a rectangle, we add up all the sides, which is equivalent to 2 times the sum of the length and the width. To find the area, we multiply the length by the width.

Step 1: Calculate the Perimeter

The perimeter \( P \) of a rectangle is given by the formula: \[ P = 2 \times (\text{length} + \text{width}) \] Substituting the given values: \[ P = 2 \times (9.5 + 12.1) = 2 \times 21.6 = 43.2 \, \text{cm} \]

Step 2: Calculate the Area

The area \( A \) of a rectangle is given by the formula: \[ A = \text{length} \times \text{width} \] Substituting the given values: \[ A = 9.5 \times 12.1 = 114.95 \, \text{cm}^2 \]

Final Answer

The perimeter of the rectangle is \(\boxed{43.2 \, \text{cm}}\).

The area of the rectangle is \(\boxed{114.95 \, \text{cm}^2}\).

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