Question

find the area of the shaded part of the figure.
8 mm
2 mm
6 mm
5 mm
4 mm
3 mm
enter the correct answer in the box.
show hints
sq mm

Explanation:

Step1: Calculate area of big rectangle

The big rectangle has length \( 8 \, \text{mm} \) and height \( 6 \, \text{mm} \). The area of a rectangle is \( \text{length} \times \text{height} \), so \( 8 \times 6 = 48 \, \text{sq mm} \).

Step2: Calculate area of unshaded rectangle

The unshaded rectangle has length \( 5 \, \text{mm} \) and height \( 4 \, \text{mm} \). Using the rectangle area formula, \( 5 \times 4 = 20 \, \text{sq mm} \).

Step3: Subtract unshaded from big area

To find the shaded area, subtract the unshaded area from the big rectangle's area: \( 48 - 20 = 28 \, \text{sq mm} \).

Answer:

28