How do you find the area of a trapezoid with base length 28, height 10, top side 8, and side lengths 12 and 15?

1 Answer

Area of the Trapezoid #= 180#

Explanation:

The Area of a Trapezoid is
#A = {b_1 + b_2}/2 * h#

where #h# is the height, #b_1# is the base, and #b_2# is the "top side"

in other words, the Area of a Trapezoid is the "Average of the Bases times the Height"

in this case,
#b_1 = 28#
#b_2 = 8#
and
#h = 10#

which gives us
#A = {28+8}/2 * 10#
#A = 36/2 * 10#
#A = 18 * 10 #
#A = 180# #leftarrow# answer

*note: the "side lengths" are unnecessary information