1 Answer

Tdykstra · Answer 1 · 2021-06-25T17:20:06+0000

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:

area = (a+b)/(2) * h

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,

$342 = (17+21)/(2) * h\\\\342 * 2 = 38 * h\\\\ 684 = 38h\\\\h = (684)/(38)\\\\h = 18$

Thus height of trapezoid is 18 yards

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