I want to build a hot tub and a deck to go around it….the hot tub has a diameter of 12 ft. I want my rectangular deck to go around it and be 20ft by 16 ft. How much wood do i need to buy? (remember I am not putting wood over the tub)

Respuesta :

Answer:

206.9 square feet

Explanation:

We know that the amount of wood purchased has to equal the area of the deck minus the area of the hot tub.

Lets find the area of the hot tub.

[tex]d/2=r\\12/2=6\\\\A=\pi r^{2}\\A=\pi*6^2\\A=36\pi\\[/tex]

Lets make pi equal to 3.141

[tex]A=36*3.141\\A=113.076 ft^2[/tex]

Now lets find the area of the deck.

[tex]A=l*w\\A=20*16\\A=320 ft^2[/tex]

Subtract the area of the hot tub from the deck.

[tex]320-113.076=206.924 ft^2[/tex]

Answer:

Explanation:

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