Area of a trapezoid half the product of the height and the sum of the lengths of the parallel sides

Question

Mathematics

Mike Harrington

16 May, 17:11

Area of a trapezoid half the product of the height and the sum of the lengths of the parallel sides

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Brynlee Davis · Answer 1

Area of the trapezoid is the sum of the area of the rectangle and the right triangles that are next to it.

Area of the trapezoid = l*h + h*x/2+h*[L-l-x) ]/2=l*h+h*x/2+h*L/2-h*l/2-h*x/2=

= h*L/2+h*l-h*l/2=h*L/2+h*l/2=h * (L+l) / 2