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© BrainMass Inc. brainmass.com October 3, 2022, 12:57 am ad1c9bdddf
Please see attached file.
Area A = ½*(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 ...
The dimensions of a trapezoid with greatest are is found. The greatest area with longer bases are determined.