Question

Find the area of this figure. Round your

answer to the nearest hundredth. Use
3.14 to approximate TT.
10 ft.
D
12.2 ft.
6 ft.
14 ft.

Answer 1

Area of triangle

• 1/2BH
• 1/2(6)(10)
• 3(10)
• 30ft²

Arew of rectangle

• LB
• 10(14)
• 140ft²

Area of semicircle

• πr²/2

r=10/2=5ff

• π(5)²/2
• 25π/2
• 39.25ft²

Total area

• 39.25+140+30
• 170+39.25
• 209.25ft²

Answer 2

209.25 ft²

Explanation:

The figure is made up of a triangle, a rectangle and a semicircle.

Area of a triangle = 1/2 x base x height

= 1/2 x 6 x 10

= 30 ft²

Area of a rectangle = width x length

= 10 x 14

= 140 ft²

Area of a semicircle = 1/2 π r²

= 1/2 x 3.14 x 5²

= 1/2 x 3.14 x 25

= 39.25 ft²

Total area = triangle + rectangle + semicircle

= 30 + 140 + 39.25

= 209.25 ft²