Area of Trapezium by Division into Shapes of Known Area
Find the area...
Question
Find the area of the figure given below.
A
h sq.units
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B
h(a+b)sq. units
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C
2h(a+b) sq.units
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D
Can't be determined
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Solution
The correct option is A
h sq.units
Area of trapezium = Area of rectangle + Area of the two triangles =base×height+2×12×base×height =a×h+2×12×h×(b−a2) =a×h+h(b−a)2 =h[a+b−a2] =h[b+a2] Area of trapezium =h(a+b)2sq.units