A trapezoid has an area of 18m square and parallel sides that measure 4m and 2m. Wat is the height of the trapezoid?

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A trapezoid has an area of 18m square and parallel sides that measure 4m and 2m. Wat is the height of the trapezoid?

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Answer 1 · 2015-11-26T15:06:16

The height of the trapezoid is $6 m$ $6 "m"$ .

Explanation:

Let's call the parallel sides of your trapezoid $a$ $a$ and $b$ $b$ and let's call the height of the trapezoid $h$ $h$ .

The formula for the area of the trapezoid is

$A = \frac{a + b}{2} \cdot h$ $A = (a+b)/2 * h$

In your case, you know $A$ $A$ , $a$ $a$ and $b$ $b$ and you would like to compute $h$ $h$ , so plug the numbers into the equation and solve it for $h$ $h$ :

$18 m^{2} = \frac{4 m + 2 m}{2} \cdot h$ $18 "m"^2 = (4 "m" + 2 "m")/ 2 * h$

$\Leftrightarrow 18 m^{2} = 3 m \cdot h$ $<=> 18 "m"^2 = 3 "m" * h$

$\Leftrightarrow h = 6 m$ $<=> h = 6 "m"$

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A trapezoid has an area of 18m square and parallel sides that measure 4m and 2m. Wat is the height of the trapezoid?

1 Answer

Explanation:

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