Question

calculator
this figure is made up of a triangle and a semicircle.
what is the area of the figure?
use 3.14 for π.
enter your answer, as a decimal, in the box.
□ units²

Explanation:

Step1: Find base and height of triangle

Base of triangle: distance between (0,1) and (7,1) = 7 units. Height: 5 - 1 = 4 units.
Area of triangle: $\frac{1}{2} \times 7 \times 4 = 14$ units².

Step2: Find radius of semicircle

Diameter of semicircle: same as triangle base = 7 units. Radius $r = \frac{7}{2} = 3.5$ units.
Area of semicircle: $\frac{1}{2} \times \pi \times r^2 = \frac{1}{2} \times 3.14 \times 3.5^2 = \frac{1}{2} \times 3.14 \times 12.25 = 19.2325$ units².

Step3: Total area of figure

Add triangle and semicircle areas: $14 + 19.2325 = 33.2325$.

Answer:

33.2325