Question

a rectangular region is removed from another rectangular region to creat
image: a large blue rectangle (length 13 mm, height 8 mm) with a smaller white rectangle (length 6 mm, height 4 mm) inside it; below, a text box labeled “mm²” for the answer, and two buttons (refresh and close).

Explanation:

Step1: Calculate area of large rectangle

The formula for the area of a rectangle is \( A = l \times w \), where \( l \) is length and \( w \) is width. For the large rectangle, \( l = 13 \) mm and \( w = 8 \) mm. So, \( A_{large} = 13 \times 8 = 104 \) \( \text{mm}^2 \).

Step2: Calculate area of small rectangle

For the small rectangle, \( l = 6 \) mm and \( w = 4 \) mm. Using the area formula, \( A_{small} = 6 \times 4 = 24 \) \( \text{mm}^2 \).

Step3: Subtract small area from large area

To find the area of the resulting figure, subtract the area of the small rectangle from the large one: \( A = A_{large} - A_{small} = 104 - 24 = 80 \) \( \text{mm}^2 \).

Answer:

80