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in this example we're asked to find the
area of the trapezoid shown remember
that a trapezoid is a quadrilateral with
one pair of parallel sides the formula
for the area of a trapezoid is area
equals one-half times parentheses base
one plus base two times height
where the bases are the parallel sides
so when the trapezoid shown the bases
are 15 inches and 25 inches and the
height is 5 inches plugging this
information into the formula we have 1/2
times 15 inches plus 25 inches times 5
inches next the order of operations
tells us that we must simplify inside
the parentheses first 15 inches plus 25
inches is 40 inches and we have 1/2
times 40 inches times 5 inches 1/2 times
40 inches is 20 inches and we have 20
inches times 5 inches which is 100
inches squared so the area of the
trapezoid shown is 100 square inches
