Given the following trapezoid:
Calculate the area of the trapezoid ABCD.
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Given the following trapezoid:
Calculate the area of the trapezoid ABCD.
To calculate the area of the trapezoid ABCD, we will follow these steps:
Given:
Apply the trapezoid area formula:
The formula for the area of a trapezoid is:
Substitute the values into the formula:
Simplify the expression:
Calculate:
Finally, compute the area:
Thus, the area of trapezoid ABCD is .
45
Given the following trapezoid:
Calculate the area of the trapezoid ABCD.
The bases are the two parallel sides of the trapezoid. In this problem, AB = 7 and CD = 11 are parallel to each other, so they're the bases!
A trapezoid is like the average of two rectangles. The finds the average width, then we multiply by height to get the area.
Sometimes you need to calculate the height using the Pythagorean theorem or other methods. The height is always the perpendicular distance between the parallel bases.
No! This formula only works for trapezoids because they have exactly one pair of parallel sides. For other shapes, use different formulas.
Since area measures square units, your answer should have units like cm², m², or just 'square units' if no specific unit is given in the problem.
Think: 'Half the sum times the height!' You're finding the average of the two bases, then multiplying by how tall the shape is.
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