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OlgaM077 [116]
3 years ago
9

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. W

hat is the height of the trapezoid?
EXPLAIN YOUR ANSWER PLEASE!!!
Mathematics
1 answer:
dedylja [7]3 years ago
6 0

The height of trapezoid is 18 yards

<em><u>Solution:</u></em>

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

<em><u>The area of trapezoid is given by formula:</u></em>

area = \frac{a+b}{2} \times 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 = ?

<em><u>Substituting the values we get</u></em>,

342 = \frac{17+21}{2} \times h\\\\342 \times 2 = 38 \times h\\\\ 684 = 38h\\\\h = \frac{684}{38}\\\\h = 18

Thus height of trapezoid is 18 yards

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