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 quadrilateral in which P, Q, R and S are mid-points of the sides AB, BC, CD and DA (see Fig 8.29). AC is a diagonal. Show that:(i) SR || AC and SR = 1/2 AC(ii) PQ = SR(iii) PQRS is a parallelogram.

PQRS is a parallelogram.T is the mid-point of PQ and U is the mid-point of RS.N is any point on QR and M is any point on TU. Question promptWhich of these is not equal to the area of quadrilateral PMSN?Question response areaSelect one optionarea of triangle PMS area of triangle PNS area of parallelogram TQRU area of parallelogram PQRS

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 rhombus and P, Q, R and S are the mid-points of the sides AB, BC, CD and DA, respectively. Show that the quadrilateral PQRS is a rectangle.

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.