Question

Find the area of the figure. Round your answer to the nearest hundredth.

Answer 1

≈ 84.14 ft²

Explanation:

The figure is composed of a rectangle and a semicircle, so

A = area of rectangle + area of semicircle

= lb +
`(1)/(2)`πr²

diameter of circle = 14 - (4 + 4) = 14 - 8 = 6 , then radius r = 3

A = (14 × 5) + (0.5 × π × 3² )

= 70 + 4.5π

≈ 84.14 ft² ( to the nearest hundredth )

Answer 2

area of the rectangle =length *breadth

=14*5=70sq.ft

diameter =6ft

radius =3ft

area of the semi circle =1/2πr^2

=1/2*22/7*3*3=14.142sq.ft

area of the figure =area of the rectangle +area of the semi circle =70+14.142=84.142sq.ft