The square PQRS and rhombus PQTU have same base. The rhombus is inclined at an angle of30 as shown in the figure. If the side of square is 6cm, find the area of triangle PUS(A) 6√3𝑐𝑚2 (B) 36√3𝑐𝑚2 (C) 18√3𝑐𝑚2 (D) 9√3𝑐𝑚28. ABCD is a parallelogram in which BC is produced to E such that CE = BC. AE intersects CD atF. If the area ofDFB is27 cm . Find the area of parallelogram ABCD.

In rhombus ABCD, P, Q, R and S are points on AB, BC, CD and DA respectively such that PQRS is a square. The distances of A and B from the respective closest sides of the square are 75 cm and 12 cm. Find the area of PQRS.2,700 cm23,000 cm24,500 cm23,600 cm2

ABCD is a parallelogram. P, Q, R and S are the points on sides AB, BC, CD and DA respectively such that AP = DR. If the area of the parallelogram ABCD is 16 cm2, find the area of the quadrilateral PQRS.

ABCD is a parallelogram in which BC is produced to E such that CE = BC. AE intersects CD atF. If the area ofDFB is27 cm . Find the area of parallelogram ABCD.

2. ABCD  is a square of side  2cm  and  E, F, G  and  H  are the mid points of the side.  AB, BC, CD  and  DA   P, Q, R, S  are mid points of EB, FC, GD, HA respectively. Find (area of square PQRS)  ×25  is

PQRS is a trapezium with PQ and RS parallel PQ = 6 cm, QR = 5 cm, RS = 3cm and PS = 4cm. The area of PQRS is