What do you know about the situation? What are you asked to do in this situation?
Task
Gerald purchased a rectangular plot of land. The length of
the plot is 20 foot more than the width.
The cost of the land was $12 per square foot. Gerald
also had a fence put around the entire
perimeter of the plot, at a cost of S8 per linear foot. The
total amount he spent on both the land
and the fence was $10,560,
Part A
Write an equation in two variables for the perimeter, P, and
an equation in two variables for the area, A, of the plot of
land where x is the width of the plot in feet. Provide
evidence to support your equations.
Part B
Write an equation in one variable that can be used to find
the width x feet, of the plot. Express the equation in the
form ax? + bx +c. Provide evidence to support your
answer
Part
What are the dimensions, in feet, of the plot? Provide
evidence, including an explanation of each step in the
solution to the quadratic equation, to support your answer.
K