Can we draw at least two trapeziums which have equal perimeters but
different areas on a graph?
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A trapezium is a quadrilateral wherein one pair of the opposite sides are parallel while the other isn’t. This 4 sided closed flat shape is also referred to as a trapezoid. In other words, a trapezium is basically a triangle with the top sliced off. The parallel sides of a trapezium are called the base.
Trapezium ABCD
Figure ABCD is a trapezium. Here AB||CD but yes AD and BC are not parallel.
To calculate the height we need to draw a perpendicular from one parallel side to another.
The area of a trapezium can be calculated by taking the average of the two bases and multiplying it by its altitude. The formula for it is given below.
Area of a Trapezium = h
(
a
+
b
)
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no ...................
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