4.8 inches is the height of a trapezoid with an area of 24 square inches if the two bases measure 4 inches and 6 inches.
Using the formula for the area of a trapezoid, which is:
Area = (1/2)(b1 + b2)h
In this formula, b1 and b2 are the lengths of the two bases of the trapezoid, and h is the height of the trapezoid. In our problem, we know that the area is 24 square inches, and the lengths of the two bases are 4 inches and 6 inches. We want to solve for h, the height of the trapezoid.
Plugging in the known values, we get:
24 = (1/2)(4 + 6)h
24 = (1/2)(10)h
24 = 5h
4.8 = h
Therefore, the height of the trapezoid is 4.8 inches.
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