Question

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.

Answer 1

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 2

9600 square inches.

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.

`(1)/(2)* 3\text{ in}* 4\text{ in}=3\text{ in}* 2\text{ in}=6\text{ in}^2`

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

`\text{Wood used for each puzzle}=20* 6\text{ in}^2`

`\text{Wood used for each puzzle}=120\text{ in}^2`

`\text{Wood used for 80 puzzles}=80* 120\text{ in}^2`

`\text{Wood used for 80 puzzles}=9600\text{ in}^2`

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