What is the area to a trapezoid, if its h is 6 meters and its bases are 14 and 16?

The area of a trapezoid can be calculate by multiplying the average base length by the height. Just as the area of a rectangle can be calculated by multiplying the length by the height, this is just a slightly more complicated situation. The average base length is just the sum of the bases divided by two (total number of bases). The formula to calculate the area becomes:

Area = height x (base1 + base2) / 2

= 6 meters x (14 meters + 16 meters) / 2

= 6 meters x 15 meters

= 90 meters^2

A = 1/2(6)(30)

A = 3(30)

A = 90 sq m

The area of a trapezoid can be broken down into two triangles and a rectangle.

It's easy to see the rectangles area.

[RECT] = (6)*(14) = 84

And the triangles areas will sum to a rectangle also,

[Two Triangles] = (6)(2) = 12

So

[Total Area] = 12 + 84 = 96