Q. 1 D5.0( 1 Vote )

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Answer :

Given. PQRS is a trapezium.

PQ = 6.5 cm, QR = 7 cm, PS = 9 cm , PQR = 85°


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 6.5cm


Step 2 : Make an angle of 85° from point Q and extend ray to QR’



Step 3 : Mark an arc of 7cm from Q on ray QR’ and name intersection point as R



Step 4 : Draw a ray RS’ parallel to PQ from point R



Step 5 : Make arc of 9cm on ray RS’ from point P and name intersection point as S



Step 6 : Join point S and P to form trapezium PQRS



Step 7 : Draw a perpendicular on PQ from point R and name the intersection point as E



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


= × RE × (PQ + SR)


= × 7cm × (6.5cm + 11.8cm)


64.05cm2


Conclusion. Hence; Trapezium PQRS is constructed and its area is 64.05cm2


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