Question

find the area of the figure below, composed of a rectangle and a semicircle. round to the nearest tenths place. 15 8 answer attempt 1 out of 2 submit answer

Explanation:

Step1: Calculate rectangle area

The area formula for a rectangle is $A_{rect}=l\times w$, where $l = 15$ and $w = 8$. So $A_{rect}=15\times8=120$.

Step2: Calculate semicircle area

The diameter of the semicircle is 8, so the radius $r=\frac{8}{2}=4$. The area formula for a full - circle is $A_{circle}=\pi r^{2}$, and for a semi - circle $A_{semicircle}=\frac{1}{2}\pi r^{2}$. Substituting $r = 4$ into the formula, we get $A_{semicircle}=\frac{1}{2}\times\pi\times4^{2}=\frac{1}{2}\times\pi\times16 = 8\pi\approx8\times3.14 = 25.12$.

Step3: Calculate total area

The total area of the figure $A = A_{rect}+A_{semicircle}=120 + 25.12=145.12$. Rounding to the nearest tenth, we get $A\approx145.1$.

Answer:

$145.1$