Question

the rectangle shown is 12 centimeters long and 4 centimeters wide.
12 cm
4 cm
what are the area and perimeter of the rectangle?
a = \square square centimeters
p = \square centimeters

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \( A = l \times w \), where \( l \) is the length and \( w \) is the width. Given \( l = 12 \) cm and \( w = 4 \) cm, we substitute these values into the formula: \( A = 12 \times 4 \).
\( 12 \times 4 = 48 \)

Step2: Calculate the perimeter of the rectangle

The formula for the perimeter of a rectangle is \( P = 2(l + w) \). Substituting \( l = 12 \) cm and \( w = 4 \) cm, we get \( P = 2(12 + 4) \). First, calculate the sum inside the parentheses: \( 12 + 4 = 16 \). Then multiply by 2: \( 2 \times 16 = 32 \).

Answer:

For the area, \( A = 48 \) square centimeters. For the perimeter, \( p = 32 \) centimeters.