You want to uncover the best area, so instead of the perimeter equation (eq1) into the area equation (eq2). This will obtain the area equation in state of just x.
You are watching: Find the length and width of a rectangle that has the given perimeter and a maximum area.
Solve for x to get the critical value. This vital value is the size that will give the preferably area. Then once you have the length, plug it into eq1 to obtain the width.
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