The area of a trapezoid is 96 m. If the two bases measure 11m and 13m, solve for the height.

Step-by-step explanation:

Formula

Area = 1/2 (b1 + b2)*h

Givens

b1 = 11 m

b2 = 13 m

Area = 96

h = ?

Solution

96 = 1/2 (11 + 13) * h      Multiply by 2     Combine the bases as well.

96*2 = (24) * h              Divide by 24

96*2/24 = h                  Multiply by 2 and divide by 24

h = 8

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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