[Solved] Doug has 8 square pieces of wood. Each piece of wood has a side length of s centimeters. The total area of all eight pieces of wood is 200 square centimeters. Create a quadratic equation Doug can use to find the side length of each piece of wood.
Let’s derive the quadratic equation step by step.
Finding the Quadratic Equation for the Area of Square Pieces of Wood
Concept Used: Area of a Square
The formula to find the area of a square is: Area=side length2Area=side length2
Detailed Explanation:
1. Determine the Area of One Square Piece
Given that the side length of each square piece of wood is �s centimeters, the area of one square piece is: Area of one piece=�2Area of one piece=s2
2. Determine the Total Area of All Eight Pieces
Since Doug has 8 pieces, the total area for all eight pieces is: Total Area=8×�2Total Area=8×s2
3. Set Up the Equation
Given that the total area of all eight pieces is 200 square centimeters, we can set up the equation as: 8�2=2008s2=200
This is the quadratic equation Doug can use to find the side length �s of each piece of wood.