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Lee takes a piece of plywood that is 28 inches long and uses a table saw to make a 35-inch cut from corner to opposite corner. What was the width of the piece of plywood? inchesSubmit

Question

Lee takes a piece of plywood that is 28 inches long and uses a table saw to make a 35-inch cut from corner to opposite corner. What was the width of the piece of plywood? inchesSubmit

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Solution

The problem seems to be a right triangle problem, where the length of the plywood is one side, the cut is the hypotenuse, and the width is the other side. We can use the Pythagorean theorem to solve this, which states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In equation form, this is c² = a² + b².

Given: Length (a) = 28 inches Hypotenuse (c) = 35 inches

We need to find the width (b). Rearranging the Pythagorean theorem to solve for b gives us b = sqrt(c² - a²).

Substituting the given values into this equation gives us b = sqrt((35 inches)² - (28 inches)²) = sqrt(1225 inches² - 784 inches²) = sqrt(441 inches²) = 21 inches.

So, the width of the piece of plywood was 21 inches.

This problem has been solved

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