Q. 1 E5.0( 1 Vote )

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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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