Algebra-2

Question Analysis
This question tests the student's ability to factor a quadratic expression and find its roots. The problem is set in a real-world context, where the quadratic expression represents the area of a rectangular plot of land.

Key Concept Explanation
Factoring a quadratic expression involves finding two binomials whose product equals the original quadratic. The roots of the quadratic equation are the values of that make the expression equal to zero.

Step-by-step Solution
1. Factor the quadratic expression .
2. Identify two numbers that multiply to 70 and add up to -17. These numbers are -7 and -10.
3. Write the factored form: .
4. Set each factor equal to zero:

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