Question

Find the area of this figure to the nearest hundredth. Use 3.14 to approximate pi.

Answer 1

the area of the figrue is 105.12

Explanation:

1. area of rectangle A= l · w
2. 10 x 8= 80
3. area of simi-circle= 1/2(3.14 x r²)
4. 1/2 x 3.14 x 4²=25.12
5. 80+25.12=105.12 (nearest Hundredth)

Answer 2

86.28 ft²

Explanation:

The figure given consists of a rectangle and a semicircle.

The area of the figure = area of rectangle + area of semicircle

Area of rectangle =
`l*w`

Where,

l = 10 ft

w = 8 ft

`area = l*w = 10*8 = 80 ft^2`

Area of semicircle:

Area of semicircle = ½ of area of a circle = ½(πr²)

Where,

π = 3.14

r = ½ of 8 = 4 ft

Area of semi-circle = ½(3.14*4) = 6.28 ft²

Area of the figure = area of rectangle + area of semi-circle = 80 + 6.28 = 86.28 ft² (nearest hundredth)