Find the area of a trapezoid if the altitude is 6 inches and the median is 8 inches. (Hint: Recall that the median of atrapezoid is equal to half the sum of the bases.)24 sq units48 sq. units96 sq. units

Answer:48 sq. unitsStep-by-step explanation:The area of a trapezoid is given by half sum of the bases multiplied by the height[tex]=\frac{1}{2} (a+b)h[/tex]where a and b are the two parallel sides of the trapezoid and h is the height or amplitude of the trapezoidBut you are aware that, the median of a trapezoid is equal to half the sum of the bases, thus the first part of the formulae  is covered by the median[tex]Median=\frac{1}{2} (a+b)[/tex]Hence area, A, of a trapezoid is simplified to product of median and amplitude[tex]A=amplitude*median\\\\A=6*8=48sq.units[/tex]