Questions: The area of the trapezoid is 42 square meters. What is the trapezoid's height, h? h= meters

The area of the trapezoid is 42 square meters. What is the trapezoid's height, h? h= meters
Transcript text: The area of the trapezoid is 42 square meters. What is the trapezoid's height, $h$? $h=\square$ meters
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Solution

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Solution Steps

Step 1: Formula for the area of a trapezoid

The area of a trapezoid is given by the formula: Area = (1/2) * (sum of parallel sides) * height

In our case, the area is given as 42 square meters, one parallel side is 4 m, and the other parallel side is 10 m. Let 'h' be the height of the trapezoid.

Step 2: Substitute the given values into the formula

Substituting the given values into the formula, we get: 42 = (1/2) * (4 + 10) * h

Step 3: Simplify and solve for h

Simplifying the equation, we have: 42 = (1/2) * 14 * h 42 = 7 * h h = 42 / 7 h = 6

Final Answer:

\\(\boxed{h=6}\\) meters

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