Respuesta :
Answer:
The height of trapezoid WXYZ is 5 units.
Step-by-step explanation:
Given : A trapezoid WXYZ having WX=16 , YZ=16 and the area is 80 units²
We have to find the height of trapezoid WXYZ
W know area of trapezoid is [tex]\frac{1}{2}\times \text{(sum of parallel sides)} \times \text{height}[/tex]
Given area is 80 units²
Two parallel sides are WX=16 , YZ=16
Thus sum of parallel sides is 16 + 16 = 32 units
Let height = h unit
Substitute , we get,
[tex]80=\frac{1}{2} \times 32 \times h[/tex]
Solving for h , we have
[tex]80=16 \times h[/tex]
Divide both side by 16, we have
h = 5
Thus, the height of trapezoid WXYZ is 5 units.