To find the height of a trapezoid given its bases and area, you can use the formula:
Area = (1/2) × (base1 + base2) × height
In this case, the bases of the trapezoid have lengths 14 and 39, and the area is given as 371. Let's substitute the values into the formula and solve for the height:
371 = (1/2) × (14 + 39) × height
371 = (1/2) × 53 × height
371 = 26.5 × height
To isolate the height, divide both sides of the equation by 26.5:
height = 371 / 26.5
height ≈ 14
Therefore, the height of the trapezoid is approximately 14 units.