Trapezoid
A trapezoid is a quadrilateral with two parallel sides called bases, and the other two sides called legs
A trapezoid is a quadrilateral with two parallel sides called bases, and the other two sides called legs. The bases of a trapezoid are not necessarily equal in length, which distinguishes it from a parallelogram.
To calculate the area of a trapezoid, you can use the formula:
Area = (1/2) × (sum of bases) × height
In this formula, the sum of bases refers to the total length of the two parallel sides of the trapezoid, and the height is the perpendicular distance between the bases.
Let’s work through an example:
Suppose we have a trapezoid with a shorter base (b1) measuring 5 units, a longer base (b2) measuring 10 units, and a height (h) measuring 8 units.
We can find the area using the formula:
Area = (1/2) × (b1 + b2) × h
Plugging in the given values, we get:
Area = (1/2) × (5 + 10) × 8
= (1/2) × 15 × 8
= (1/2) × 120
= 60 square units
Therefore, the area of the trapezoid is 60 square units.
Additionally, if you have the lengths of the two non-parallel sides (legs), you can also find the perimeter of the trapezoid by adding up the lengths of all four sides.
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