Question 1181359
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A) The lawn is a square with side length x (meters), with a pool 6m x 8m somewhere in the lawn.  The area of lawn is the area of the square, minus the area of the pool.<br>
ANSWER: The equation for the area of lawn in square meters is<br>
{{{y=x^2-48}}}<br>
The minimum value for x, the length of a side of the square, is the longer dimension of the pool.
There is no maximum value for the side length of the square.
ANSWER: The domain is [8,infinity)<br>
The minimum area of lawn is when the side length of the square is minimum -- that is, when x=8.  The minimum area is then 8^2=64-48=16.
There is no maximum for the area.
ANSWER: The range is [16,infinity)<br>