A 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. What is the height of the trapezoid? EXPLAIN YOUR …

Question

asked Jun 20, 2021 12.4k views

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