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

Solution Steps

The figure consists of a rectangle and a semicircle. The rectangle is on top, and the semicircle is at the bottom.

The dimensions of the rectangle are 7 miles (length) and 4 miles (height). \[ \text{Area of the rectangle} = \text{length} \times \text{height} = 7 \, \text{mi} \times 4 \, \text{mi} = 28 \, \text{square miles} \]

The diameter of the semicircle is 7 miles, so the radius is \( \frac{7}{2} = 3.5 \) miles. \[ \text{Area of the semicircle} = \frac{1}{2} \pi r^2 = \frac{1}{2} \times 3.14 \times (3.5)^2 \] \[ = \frac{1}{2} \times 3.14 \times 12.25 \] \[ = \frac{1}{2} \times 38.465 \] \[ = 19.2325 \, \text{square miles} \]

Final Answer