Q. 1 G5.0( 1 Vote )

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Answer :

Given. PQRS is a trapezium.

PQ = 8 cm, QR = 5 cm, RS = 6 cm and SP = 4 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 PQ of 8cm


Step 2 : Mark a point E on PQ such that PE = 6cm and EQ = 2cm



Step 3 : Make arc of 5cm from point Q and 4cm from point E



Step 4 : Mark the intersecting point of both arcs to be R and join ER and RQ



Step 5 : Draw arcs of 6cm and 4cm from point R and P respectively



Step 6 : Mark the intersection point of both arcs as S join SP and RS



Step 8 : Draw a perpendicular on PQ from point R and name the intersection point as F



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


= × RF × (PQ + SR)


= × 3.8cm × (8cm + 6cm)


= 26.6cm2


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


26.6cm2


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