To determine the equation that could be used to find the dimensions of the fenced yard, let's go step-by-step through the problem:
1. Define Variables:
- Let the length of the yard be [tex]\( x \)[/tex] meters.
- The width of the yard would then be [tex]\( x - 11 \)[/tex] meters (since the width is 11 meters less than the length).
2. Formulate the Area Equation:
- The area of a rectangle is given by [tex]\( \text{Area} = \text{length} \times \text{width} \)[/tex].
- Substituting the given values, we get:
[tex]\[ 900 = x \times (x - 11) \][/tex]
3. Simplify and Expand:
- Expanding the right side of the equation, we obtain:
[tex]\[ 900 = x^2 - 11x \][/tex]
Thus, the correct equation that could be used to find the dimensions of the fenced yard is:
[tex]\[ 900 = x^2 - 11x \][/tex]
Therefore, the answer is:
[tex]\[ 900 = x^2 - 11x \][/tex]
