The parallel sides of a Trapezium are 7.5 cm and 3.9 cm and the other sides are each 2.6 cm find its area
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Answer: 14.25 cm.sq.
Step-by-step explanation:
We know ,
Area of Trapezium= (h/2)(x+y)
Therefore, to find Area, we need to find height.
BC= 2.6 CE= (7.5-3.9)/2 = 3.6
To find BE (h) We will use Pythagoras Theorem
BC^2= BE^2 + CE^2
=> (2.6)^2= BE^2 + (3.6)^2
=> 6.76 = BE^2 + 12.96
=> BE^2 = 6.2
=> BE = 2.5 (approx.)
Area of Trapezium = (h/2)(x+y)
= (2.5/2)(7.5+3.9)
= 1.25×11.4
= 14.25 cm.sq.
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