Question

Find the area of the composite figure to the nearest hundredth.

Answer 1

`745.45 mm^(2)`

Explanation:

(semicircle) A1 = 245.45 mm

(rectangle) A2 = 312.5 mm

(triangle) A3 = 187.5 mm

Formula for semicircle =
`A = (1)/(2) \pi r^(2)`

`(1)/(2)\pi 12.5^(2) = 78.13\pi = 245.45 mm`

Formula for rectangle =
`A = lw`

`25 x 12.5 = 312.5 mm`

Formula for triangle =
`A = (1)/(2) bh`

`(1)/(2) 30(12.5) = 187.50mm`

Now we add them all up to get our answer

`245.45 + 312.5 + 187.5 =745.45mm^(2)`

Answer 2

745.31

Explanation:

1. 12.5^2 * 2 = 312.5

2. (3,14 * 156,25)/2 = 245.31

3. (30 * 12.5)/2 = 187.5

4. 187.5 + 245.31 + 312.5 = 745.31