Depends on what figure you are working on, each figure has its own formula for the area.
So you need to do a sketch and label the relevant quantities which are needed to find the area. By using the perimeter value, find a formula for one quantity in terms of the other(s). Write the area as a function of just one variable. Find the domain of that variable. After that, use the derivative to find the desired global maximum or minimum (the highest or lowest points on the curve), which will give you the maximum or the minimum area of the figure you are interested in.
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There is no relationship between the perimeter and area of a rectangle. Knowing the perimeter, it's not possible to find the area. If you pick a number for the perimeter, there are an infinite number of rectangles with different areas that all have that perimeter. Knowing the area, it's not possible to find the perimeter. If you pick a number for the area, there are an infinite number of rectangles with different perimeters that all have that area.
Divide the perimeter by 4 and then square the result to find the area of the square.
If you are given the width and the perimeter, then figure out what the length is then calculate the area... hope this helps :)
perimeter (P)=2(length+base) find length, area = length * base = (p/2-base)*base
Area of a trapezoid in square units = 0.5*(sum of parallel sides)*height Perimeter = sum of its 4 sides