Q. 2 B5.0( 1 Vote )

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Answer :

Given. ABCD is a isosceles trapezium.

AB = 10 cm, DC = 6 cm and AD = BC = 7 cm


Formula used. Area of trapezium = × height × sum of parallel sides


Area of trapezium = × height × (PQ + SR)


Steps of Construction


Step 1 : Draw a line AB of 10cm


Step 2 : Mark a point E on AB such that AE = 6cm and EB = 4cm



Step 3 : Make arc of 7cm from both point E and B



Step 4 : Mark the intersecting point of both arcs to be C and join EC and EB



Step 5 : Draw arcs of 6cm and 7cm from point C and A respectively



Step 6 : Mark the intersection point of both arcs as D


Step 7 : Join AD and CD to form trapezium ABCD



Step 8 : Draw a perpendicular on AB from point C and name the intersection point as F



Area of trapezium = × height × (AB + CD)


= × RF × (AB + CD)


= = × 6.7cm × (10cm + 6cm)


= 53.6cm2


Conclusion. Hence; Trapezium ABCD is constructed and its area is


53.6cm2


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