Questions: What is the area of this figure? Write your answer using decimals. Use 3.14 for π. square meters

Solution Steps

The given figure can be divided into three simpler shapes: two rectangles and a semicircle.

The first rectangle has dimensions 8 meters by 6 meters. \[ \text{Area of first rectangle} = 8 \, \text{m} \times 6 \, \text{m} = 48 \, \text{m}^2 \]

The second rectangle has dimensions 9 meters by 8 meters. \[ \text{Area of second rectangle} = 9 \, \text{m} \times 8 \, \text{m} = 72 \, \text{m}^2 \]

The semicircle has a radius of 3 meters. \[ \text{Area of semicircle} = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.14 \times (3 \, \text{m})^2 = \frac{1}{2} \times 3.14 \times 9 \, \text{m}^2 = 14.13 \, \text{m}^2 \]

Add the areas of the two rectangles and the semicircle to find the total area. \[ \text{Total area} = 48 \, \text{m}^2 + 72 \, \text{m}^2 + 14.13 \, \text{m}^2 = 134.13 \, \text{m}^2 \]

Final Answer