Find the height of a trapezoid with bases 9 and 6 and an area of 120 square units

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 = 9 units

b = 6 units

If It has an area of 120 square units, then

120 = 1/2(9 + 6)h

Cross multiplying by 2, it becomes

120 × 2 = (9 + 6)h

240 = 15h

h = 240/15 = 16 units

Height (h) = 16 units

Step-by-step explanation:

Area of trapezium = ½ (Sum of 2 parallel lengths) * Height

Area = ½ ( a + b ) h

Given that:

a=6 units

b= 9 units

Area = 120 square units

Therefore:

120 = ½(6+9) h

120 = ½ (15) h

Multiply through by 2.

2*120 = 2*½ (15) h

240 = 15h

h = 240/15

h= 16 units

Please find the attached file for the sketch.

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