A section in a stained glass window is shaped like a trapezoid with an area of 45.5 square inches. The top base is 4 inches and the bottom base is 2.5 inches long. Which equation can be used to find h, the height of the trapezoid? ResponsesA 3.25h = 45.53.25 h = 45.5B 45.5h = 6.545.5 h = 6.5C 48 = 6.5h48 = 6.5 hD 48 = 4h
Question
A section in a stained glass window is shaped like a trapezoid with an area of 45.5 square inches. The top base is 4 inches and the bottom base is 2.5 inches long. Which equation can be used to find h, the height of the trapezoid? ResponsesA 3.25h = 45.53.25 h = 45.5B 45.5h = 6.545.5 h = 6.5C 48 = 6.5h48 = 6.5 hD 48 = 4h
Solution
The formula for the area of a trapezoid is given by:
Area = 1/2 * (base1 + base2) * height
Given that the area is 45.5 square inches, base1 is 4 inches, and base2 is 2.5 inches, we can substitute these values into the formula to find the equation for the height (h):
45.5 = 1/2 * (4 + 2.5) * h
This simplifies to:
45.5 = 1/2 * 6.5 * h
Multiplying both sides by 2 gives:
91 = 6.5h
So, the correct equation to find the height of the trapezoid is 91 = 6.5h. However, this option is not listed in the given responses. There seems to be a mistake in the provided options.
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