The height of trapezoid is 18 yards
Solution:
Given that, trapezoid has an area of 342 square yards
The length of one base is 17 yards, and the length of the other base is 21 yards
To find: height of trapezoid
The area of trapezoid is given by formula:
[tex]area = \frac{a+b}{2} \times h[/tex]
Where "h" is the height
"a" and "b" are the length of base
Here given that,
area = 342 square yards
a = 17 yards
b = 21 yards
h = ?
Substituting the values we get,
[tex]342 = \frac{17+21}{2} \times h\\\\342 \times 2 = 38 \times h\\\\ 684 = 38h\\\\h = \frac{684}{38}\\\\h = 18[/tex]
Thus height of trapezoid is 18 yards
