Q. 1 E5.0( 1 Vote )

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Answer :

Given. PQRS is a trapezium.

PQ = 7.5 cm, PS = 6.5 cm , QPS = 100° and PQR = 45°.


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 7.5cm


Step 2 : Make an angle of 45° from point Q and extend ray to QR’



Step 3 : Make an angle of 100° from point P and extend ray to PS’



Step 3 : Mark an arc of 6.5cm from P on ray PS’ and name intersection point as S



Step 4 : Draw a ray SR” parallel to PQ from point S



Step 5 : Mark the intersection point of SR” and QR’ as R



Step 6 : Draw a perpendicular on PQ from point R and name the intersection point as E



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


= × RE × (PQ + SR)


= × 6.4cm × (7.5cm + 2.2cm)


= 31.04cm2


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


31.04cm2


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