Question

1. the figure below is composed of a rectangle and triangle. find the area of the shaded region.

a. 120 cm²
b. 80 cm²
c. 40 cm²
d. 160 cm²
8 cm
10 cm

Explanation:

Step1: Calculate rectangle area

$\text{Area}_{\text{rectangle}} = 10 \times 8 = 80 \, \text{cm}^2$

Step2: Calculate unshaded triangle area

$\text{Area}_{\text{triangle}} = \frac{1}{2} \times 10 \times 8 = 40 \, \text{cm}^2$

Step3: Subtract triangle from rectangle

$\text{Area}_{\text{shaded}} = 80 - 40 = 40 \, \text{cm}^2$

Answer:

c. $40 \, \text{cm}^2$