Question

Determine the area of the composite figure to the nearest whole number.

Answer 1

So this is a two step process, first you must find the area of the rectangle, then find the area of the semicircle.

So to find the area of a rectangle, you use: Length*Height=Area
In this case that would be: 7*2=14cm

Next you find the area of the semicircle, to do this you first find the area of the circle (Pi*r^2) then divide it by 2.

The diameter of the circle is 4 because: 7-2-1=4cm
Next divide that by 2 so that you get the radius: 4/2=2cm
Not you can plug that into the equation to get the area of the circle: Pi*2^2≈13cm^2
Next divide it by 2 so that you get the area of the semicircle:13/2≈6cm^2

At this point you can add the area of the semicircle to the area of the rectangle: 14+6=20cm^2

So your final answer is 20cm^2!