Question

What's the answer to that?

Answer 1

A = 105.12 ft²

Explanation:

We have the rectangle 8ft × 10ft and the semicircle with diameter d = 8ft.

The formula of an area of a rectangle:

`A_{\boxed{\ }}=l* w`

Substitute w = 8ft, l = 10ft:

`A_{\boxed{\ }}=8*10=80\ ft^2`

The formula of an area of a semicircle:

`A_O=(\pi r^2)/(2)`

r - radius

We have the diameter. We know: A diameter is equal two times a radius.

Therefore: r = d : 2 → r = 8 : 2 = 4 ft.

Substitute:

`A_O=(\pi(4^2))/(2)=(16\pi)/(2)=8\pi\ ft^2`

Using π ≈ 3.14:

`A_O\approx8(3.14)=25.12\ ft^2`

Finally the whole area is:

`A=80+25.12=105.12\ ft^2`

Answer 2

Area = 105.133

Explanation:

First you need to find the area of both shapes.

The area of a rectangle is length x width

A= 10*8

So the area of the rectangle is 80ft^2

The area of a circle is πr^2

Area = π4^2, but it's only a half circle so you need to divide that answer by two.

Area = π4^2 = 50.265

Then divide by 2 because it's a half circle

50.265/2= 25.132ft^2

Lastly, you need to add both areas

80+25.132= 105.133ft^2