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2. Wile E. Coyote is trying to paint a rock that is 4 feet wide and 10 feet tall. He uses 8 gallons of ACMEbranded paint. Unfortunately, the animator makes the wall 16 feet tall and 40 feet wide. How manygallons of paint does Wile E. Coyote need to paint this new wall?

Answer :

First, let's find the area of the rock, it will be

[tex]A_R=4\cdot10=40\text{ ft}^2[/tex]

If he uses 8 gallons to paint 40 ft^2 then with each gallon he can paint

[tex]\frac{40}{8}=5\text{ ft}^2\text{ per gallon}[/tex]

Now, let's find the area of the wall

[tex]A_W=16\cdot40=640\text{ ft}^2[/tex]

Therefore he will need

[tex]gallons\text{ = }\frac{640}{5}\text{ = 128 gallons}[/tex]

Wile E. Coyote will need 128 gallons to paint the new wall

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