If x + y ≥ a, x - y ≤ -1, and the minimum value of z = x + ay = 7, what is a?
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ANSWER
B. 3 ft by 8 ft
EXPLANATION
The area is given as 24 square feet.
This implies that,
The perimeter of the rectangular field is given as 22 feet.
This implies that,
Or
We make w the subject in this last equation and put it inside the first equation.
When we substitute into the first equation we get;
This implies that,
When l=3, w=24
Therefore the dimension is 3 ft by 8 ft