Answer:
The height of the trapezoid is 4 cm.
Step-by-step explanation:
The area of a trapezoid (also known as a trapezium in some regions) can be found using the formula:
Area = (1/2) height (base1 + base2)
Given:
Area = 20 cm²
base1 = 3 cm
base2 = 7 cm
Rearrange the formula to solve for height:
height = Area / ((1/2) * (base1 + base2))
height = 20 cm² / ((1/2) * (3 cm + 7 cm))
height = 20 cm² / ((1/2) * 10 cm)
height = 20 cm² / 5 cm
height = 4 cm
Therefore, the height of the trapezoid is 4 cm.
