Question

find the area. the figure is not drawn to scale.
image of a composite figure with a rectangle (9 cm by 13 cm) and a right triangle with base 11 cm and height (13 - 8) = 5 cm
options:

• 127 cm²
• 144.5 cm²
• 50 cm²
• 172 cm²

Explanation:

Step1: Calculate area of rectangle

Area of rectangle = length × width = $13×9 = 117$ cm²

Step2: Calculate height of triangle

Height of triangle = $13 - 8 = 5$ cm

Step3: Calculate area of triangle

Area of triangle = $\frac{1}{2}×base×height = \frac{1}{2}×11×5 = 27.5$ cm²

Step4: Total area of figure

Total area = rectangle area + triangle area = $117 + 27.5 = 144.5$ cm²

Answer:

144.5 cm²