xMeowz
contestada

Determine the area of the composite figure to the nearest whole number.
A) 18 cm2
B) 20 cm2
C) 22 cm2
D) 24 cm2

Determine the area of the composite figure to the nearest whole number A 18 cm2 B 20 cm2 C 22 cm2 D 24 cm2 class=

Respuesta :

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!