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

Answer:
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
Answer:
≈ 84.14 ft²
Step-by-step explanation:
The figure is composed of a rectangle and a semicircle, so
A = area of rectangle + area of semicircle
= lb + [tex]\frac{1}{2}[/tex]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 )