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28 votes
28 votes
The diagram shows one side of a storage barn.

A: This side needs to be painted. Find the total area to be painted.
B: Each gallon of paint cost $20 and covers 350 square feet. Find the total cost to paint this side once. justify your answer

The diagram shows one side of a storage barn. A: This side needs to be painted. Find-example-1
User Bux
by
2.1k points

1 Answer

21 votes
21 votes

Answer to A and B.

The area of rectangle: 22.8×14.5=330.6 ft²The area of rectangle: 22.8×14.5=330.6 ft²

The area of triangle: 12⋅12⋅22.8=136.8 ft²The area of triangle: 12·12·22.8=136.8 ft²

The total area of figure: 330.6+136.8=467.4 ft²The total area of figure: 330.6+136.8=467.4 ft²

B: In order to find how many gallons of paint are needed, we need to divide the total area that needs to be painted (467.4 square ft) by the area one gallon covers (350 square ft)

467.4 ÷ 350 ≈ 1.34 gallons

Since only whole gallons of paint can be purchased, you will need 2 gallons of paint.

At $20 each, the cost will be 2 x $20 or $40.

User Smithee
by
2.7k points
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