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alculator AllowedAlgebra I, Subpart The length of a garden is feet more than the width. The area of the garden is square feet.What is the length, in feet, of the garden?Enter your answer in the space provided.
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Q. alculator AllowedAlgebra I, Subpart The length of a garden is feet more than the width. The area of the garden is square feet.What is the length, in feet, of the garden?Enter your answer in the space provided.
- Define Variables: Let's call the width of the garden (in feet). Then the length is feet.
- Calculate Area: The area of a rectangle is given by the formula . So, the area of the garden is .
- Set Up Equation: We know the area is square feet, so we set up the equation .
- Expand and Simplify: Now we need to solve for . Expanding the equation gives us .
- Factor the Equation: To solve the quadratic equation, we need to set it to zero. So, .
- Set Factors to Zero: We can factor this equation to find the values of . Factoring gives us .
- Solve for Width: Setting each factor equal to zero gives us or .
- Find Length: Solving for , we get or . Since width can't be negative, we take feet.
- Find Length: Solving for , we get or . Since width can't be negative, we take feet.Now we find the length by adding to the width. So, the length is feet.
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