The height of the trapezoid with an area of 24 and bases of 4 in and 6 in is 4.8 inches.
A trapezoid is simply a quadrilateral with at least one pair of parallel sides.
The area of a trapezoid is expressed as:
Area = 1/2 × ( base A + base B ) × Height
Given the data in the question:
Area of the trapezoid = 24 square inches
Length of base A = 4 inches
Length of base B = 6 inches
Height =?
Plug these values into the above formula and solve for the height of the trapezoid:
Area = 1/2 × ( base A + base B ) × Height
24 = 1/2 × ( 4 + 6 ) × Height
2 × 24 = ( 4 + 6 ) × Height
48 = 10 × Height
Divide both sides by 10:
Height = 48/10
Height = 4.8 inches
Therefore, the height of the trapezoid measures 4.8 inches.
This question is not complete, the complete question is:
What is the height of a trapezoid with an area of 24 square inches if the two bases measure 4 inches and 6 inches?