# Find the dimensions of the trapezoid of greatest area with longer base on the x axis and its other two vertices above the x axis and on the graph of 4y = 16 - x^2.

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Find the dimensions of the trapezoid of greatest area with longer base on the x axis and its other two vertices above the x axis and on the graph of 4y = 16 - x^2.

keywords: trapezium, trapezoids

Â© BrainMass Inc. brainmass.com October 3, 2022, 12:57 am ad1c9bdddfhttps://brainmass.com/math/geometry-and-topology/dimensions-trapezoid-greatest-area-longer-base-111377

#### Solution Preview

Please see attached file.

Area A = Â½*(sum of parallel sides)*Altitude

The base of the trapezium lies between the two points where the parabola cuts the x-axis.

Therefore, 4*0 = 16 - x2 = 0

Or x = 4 or -4.

So the length of the base = 8 ...

#### Solution Summary

The dimensions of a trapezoid with greatest are is found. The greatest area with longer bases are determined.

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