Find the length of the height of the right trapezoid shown below, if it has the greatest possible area and its perimeter is equal to 6 units.

The height of the right trapezoid is  

Step-by-step explanation:

Let

x ----> the height of the right trapezoid in units

we know that

The perimeter of the figure is equal to

we have

---> because is a square

substitute

-----> equation A

In the right triangle CDH

so

Remember  that

so

substitute the values in the equation A

-----> equation A

11 feet 6 inches and 8 feet 6 inches

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