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
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 \(\boxed{114.95 \, \text{cm}^2}\).