To find the height of the trapezoid when you know the area, you can use the formula for the area of a trapezoid:
A = (1/2) × (b1 + b2) × h
Where:
- A = area of the trapezoid
- b1 = length of the first base
- b2 = length of the second base
- h = height of the trapezoid
In this case, you’ve mentioned the area (A) is 40 square units. To find the height (h), you will need the lengths of the two bases (b1 and b2). If these values are not specified, we cannot directly calculate the height.
If you did have the lengths of the two bases, you could rearrange the formula to solve for height:
h = (2A) / (b1 + b2)
Plug in the area (40) and the values for b1 and b2 into this equation to get your height.