Knowing the length of the bases doesn't tell you the height. You can draw a
huge number of different trapezoids with different heights that all have the
same bases.
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We cannot determine the height of a trapezoid with just the lengths of the bases. Additional information such as the length of the parallel sides or any angles would be needed to calculate the height accurately.
Area = 1/2*(14+12)*8 = 104 square cm
1/2*(12+8)*5 = 50 square cm
x (height) = 12 units. area_trapezoid = ½ × sum_of_bases × height → height = 2 × area_trapezoid ÷ sum_of_bases → height = 2 × 150 ÷ (8 + 17) = 12 units
The formula to calculate the area of a trapezoid is (1/2) * sum of the bases * height. Given that the height is 12 cm and the bases are 15 cm and another side, the area can be calculated as (1/2) * (15 + b) * 12, where b is the length of the other base.
Area of a trapezoid = 0.5*( sum of parallel sides)*height