Answer:
To find the height of the trapezoid, we can use the formula for the area of a trapezoid:
Area = (1/2) × (base1 + base2) × height
Given that the bases are 4 inches and 6 inches, and the area is 32 square inches, we can substitute these values into the formula:
32 = (1/2) × (4 + 6) × height
Now, let's solve for the height:
32 = (1/2) × (10) × height
32 = 5 × height
Dividing both sides of the equation by 5:
height = 32 / 5
height = 6.4
Therefore, the height of the trapezoid is 6.4 inches.