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

Question

asked Feb 23, 2023 202k views

1 Answer

PieBie · Answer 1 · 2023-02-27T23:08:03+0000

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