Question

shown is a pattern that is made from a rectangle and a triangle. find the area of the pattern.

Explanation:

Step1: Calculate area of rectangle

The formula for the area of a rectangle is \( A_{rectangle} = length \times width \). Here, length is 8 cm and width is 5 cm.
\( A_{rectangle} = 8 \times 5 = 40 \, \text{cm}^2 \)

Step2: Calculate area of triangle

The formula for the area of a triangle is \( A_{triangle} = \frac{1}{2} \times base \times height \). The base of the triangle is equal to the width of the rectangle (5 cm) and the height is 6 cm.
\( A_{triangle} = \frac{1}{2} \times 5 \times 6 = 15 \, \text{cm}^2 \)

Step3: Calculate total area of pattern

Add the area of the rectangle and the area of the triangle.
\( A_{total} = A_{rectangle} + A_{triangle} = 40 + 15 = 55 \, \text{cm}^2 \)

Answer:

The area of the pattern is \( 55 \, \text{cm}^2 \)