The dimensions of

Area of rectangle (ABCD) = BC × CD

⇒ Area of rectangle (ABCD) = 51 × 25 = 1275 cm²

Area of trapezium PQCD = 5/6 × Area of rectangle (ABCD)

⇒ Area of trapezium PQCD = 5/6 × 1275 = 1062.5 cm²

Given that QC:PD = 9:8

Let QC = 9x and PD = 8x

Area (PQCD) =

⇒ Area (PQCD) =

⇒ 1062.5 =

⇒ 85 = 17x

⇒ x = 5cm

QC = 9x = 45cm

PD = 8x = 40 cm