Question

find the area of the compound shape.
6 cm
5 cm
14 cm
the area of the rectangle is:
the area of the triangle is:
the area of the compound shape is:

Explanation:

Step1: Calculate rectangle area

$\text{Area}_{\text{rectangle}} = 6 \times 5 = 30$ $\text{cm}^2$

Step2: Find triangle base length

$\text{Base}_{\text{triangle}} = 14 - 6 = 8$ $\text{cm}$

Step3: Calculate triangle area

$\text{Area}_{\text{triangle}} = \frac{1}{2} \times 8 \times 5 = 20$ $\text{cm}^2$

Step4: Sum areas for compound shape

$\text{Area}_{\text{compound}} = 30 + 20 = 50$ $\text{cm}^2$

Answer:

The area of the rectangle is: $30$ $\text{cm}^2$
The area of the triangle is: $20$ $\text{cm}^2$
The area of the compound shape is: $50$ $\text{cm}^2$