Question

1. find the areas of the composite figure. round to the nearest hundredth. π = 3.14

Explanation:

Step1: Calculate rectangle area

Area = length $\times$ width = $5.5 \times 6.2$
$\text{Rectangle Area} = 34.1 \ \text{in}^2$

Step2: Calculate triangle base

Base = $2.5 + 5.5 + 2.5$
$\text{Base} = 10.5 \ \text{in}$

Step3: Calculate triangle area

Area = $\frac{1}{2} \times$ base $\times$ height = $\frac{1}{2} \times 10.5 \times 4$
$\text{Triangle Area} = 21 \ \text{in}^2$

Step4: Calculate total area

Total = rectangle area + triangle area = $34.1 + 21$
$\text{Total Area} = 55.1 \ \text{in}^2$

Answer:

• Triangle area = 21 $\text{in}^2$
• Rectangle area = 34.1 $\text{in}^2$
• Total area = 55.1 $\text{in}^2$