202k views
3 votes
What is the total area of this composite figure rounded to the nearest hundredth? 18.53 ft243.07 ft239.53 ft220.07 ft2

What is the total area of this composite figure rounded to the nearest hundredth? 18.53 ft-example-1
User Nitin Garg
by
4.1k points

1 Answer

2 votes

The figure is formed from

A rectangle with length = 12 ft and width = 3 ft

A semi-circle of diameter = 3 ft

Area of the rectangle = length * width

Area of the rectangle = 12 * 3 = 36 square feet

Area of the semi-circle =


(1)/(2)\pi r^2

r = 1/2 diameter

r = 1/2 * 3

r = 1.5 feet

Area of the semi-circle =


(1)/(2)\pi(1.5)^2=1.125\pi

Add the two areas to find the area of the figure


\text{Area}=36+1.125\pi=39.53429174

Round it to the nearest hundredth

Area = 39.53 square feet

The answer is C

User PieBie
by
4.1k points