Brian cut a piece of cardboard in the shape of a trapezoid the area of the cut out is 43.5 cm² if the bases are 6 cm And 8.5 cm long what is the height of the trapezoid

Answer: the height of the trapezoid is 6 cm

Step-by-step explanation:

The formula for determining the area of a trapezoid is expressed as

Area = 1/2 (a + b) h

Where

a and b are the length of The bases are the 2 sides of the trapezoid which are parallel with one another.

h represents the height of the trapezoid.

From the information given,

a = 6 cm

b = 8.5 cm

If the area of the cut out is 43.5 cm², then

53.5 = 1/2 (6 + 8.5) h

Cross multiplying by 2, it becomes

43.5 * 2 = (6 + 8.5) h

87 = 14.5h

h = 87/14.5 = 6 cm