In Fig. 32, `A B C D` is a rectangle of length `A B=40\ c m` and breadth `B C=25\ c mdot` If `P , Q , R , S` be the mid-points of the sides `A B ,\ B C ,\ C D\ ` and`\ D A` respectively, find the area of the shaded region.

A B C D is a rhombus and P ,\ Q ,\ R ,\ S are the mid-points of A B ,\ B C ,\ C D ,\ D A respectively. Prove that P Q R S is a rectangle.

In Figure, A B C D is a rectangle with sides A B=10 c m\ a n d\ A D=5c mdot Find the area of E F G

In Figure, A B C D is a rectangle with sides A B=10 c m\ a n d\ A D=5c mdot Find the area of E F G

A B C D is a rectangle formed by joining the points A(-1,\ -1),\ \ B(-1,\ 4),\ \ C(5,\ 4) and D(5,\ -1)dot P ,\ Q ,\ R and S are the mid-points of sides A B ,\ B C ,\ C D and D A respectively. Is the quadrilateral P Q R S a square? a rectangle? or a rhombus? Justify your answer.

D ,\ E ,\ F are the mid-points of the sides B C ,\ C A and A B respectively of a Delta A B C . Determine the ratio of the areas of D E F and A B C .

In A B C ,\ D and E are the mid-points of A B and A C respectively. Find the ratio of the areas of A D E and A B C .

Let A B C D be a parallelogram of area 124c m^2dot If E and F are the mid-points of sides A B and C D respectively, then find the area of parallelogram A E F Ddot

ABCD is a rhombus and P ,Q ,R ,S are the mid-points of A B ,B C ,C D ,D A respectively. Prove that P Q R S is a rectangle.

If A B C D is a rectangle with /_B A C=32^0, find the measure of /_D B C

In Fig. 15.93, A B C D is a rectangle with A B=14\ c m and B C=7\ c m . Taking D C ,\ B C and A D as diameters, three semi-circles are drawn as shown in the figure. Find the area of the shaded region.