Question

Geometry
What the perimeter and area of the shape?

Answer 1

(a) The arc length of each of the two smaller semicircles is
`4\pi`, and the arc length of each of the two larger semicircles is
`15\pi`. Therefore, the perimeter is
`2(4\pi)+2(15\pi)=38\pi`.

(b) The area of each of the smaller semicircles is
`(1)/(2)(\pi)(4^2)=8\pi`, and the areaof each of the larger semicircles is
`(1)/(2)(\pi)(15^2)}=(225\pi)/(2)`.

So, the combined areas of the four semicircles is
`241\pi`.

The area of the rectangle is 60, so the total area is
`241\pi+60`.