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A puzzle contains a triangular piece with a base of 3 in. and a height of 4 in. A manufacturer wants to make 80 puzzles. Find the amount of wood used if each puzzle contains 20 triangular pieces.

Respuesta :

coolstick
Since the base is 3 inches and the height is 4 inches, as well as the area of a triangle being base*height/2, we get 3*4/2=6 in. for each triangle. Since we need 20 pieces for each puzzle, we multiply 6 by 20 to get 120. In addition, since 80 puzzles are needed, with 20 pieces for each puzzle, we have 120 inches for each puzzle and 120*80 = 9600 square inches of wood used

Answer:

9600 square inches.

Step-by-step explanation:

We have been given that a puzzle contains a triangular piece with a base of 3 in. and a height of 4 in.

The would used for each triangular piece would be equal to area of triangle.

[tex]\frac{1}{2}\times 3\text{ in}\times 4\text{ in}=3\text{ in}\times 2\text{ in}=6\text{ in}^2[/tex]

Each puzzle contains 20 triangular pieces, so wood used for each piece of puzzle would be 20 times 6 square inches.

[tex]\text{Wood used for each puzzle}=20\times 6\text{ in}^2[/tex]

[tex]\text{Wood used for each puzzle}=120\text{ in}^2[/tex]

[tex]\text{Wood used for 80 puzzles}=80\times 120\text{ in}^2[/tex]

[tex]\text{Wood used for 80 puzzles}=9600\text{ in}^2[/tex]

Therefore, 9600 square inches of wood is needed to make 80 puzzles.

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