Question

find the area of the figure round to the nearest tenth if necessary make sure to choose the correct unit

Answer 1

Step 1: Problem

Step 2: Concept

The area of the figure is the sum of the area of a triangle and a semi-circle.

Step 3: Method

Perimeters

Height of the triangle = 15cm

Base of the triangle = 2 x Radius of the semi-circle = 2 x 8 = 16cm

Radius r = 8cm

`\begin{gathered} \text{Area of the triangle = }\frac{Base\text{ x Height }}{2} \\ \\ =\text{ }\frac{16\text{ x 15}}{2} \\ =\text{ }(240)/(2) \\ =120cm^2 \\ \text{Area of the semi-circle = }\pi r^2 \\ \pi\text{ = 3.14} \\ =\text{ 3.14 }*8^2 \\ =\text{ 3.14 x 64} \\ =200.96cm^2 \end{gathered}`

Step 4: Final answer

Area of the figure = Area of triangle + Area of semi-circle

= 120 + 200.96

= 320.96