Q. 1 C5.0( 1 Vote )

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Given. PQRS is a trapezium.

PQ = 7 cm, QR = 5 cm and RS = 4 cm , Q = 60°

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 7cm

Step 2 : Make an angle of 60° from point Q and extend ray to QR’ Step 3 : Mark an arc of 5cm 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 4cm on ray RS’ from point R and name intersection point 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)

= × 4.3cm × (7cm + 4cm)

= 23.65cm2

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

23.65cm2

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