MATH TAKEOVER!!! PART2

Question

Explain the steps you would take to find the area of the following composite shape. (Use 3.14 for π.)

Answer 1

This is a semicircle atop a rectangle. The length of the base and dotted side of the rectangle (length b) is needed as well as the height (h) of the rectangle. The radius r of the semicircle is half the base of the rectangle (r=b/2). The area of a circle is πr², so the area of the semicircle is πr²/2 and the area of the rectangle is bh, so the total area is bh+π(b/2)²/2=bh+πb²/8.