Find the area of trapezium ABCD as given in the figure in which ADCE is a rectangle. (Hint: ABCD has two parts)

Find the area of the shaded region in the figure, in which two circles with centres A and B touch each other at the point C, where AC=8cm and AB=3cm

Find the area of the shaded region in figure, if ABCD is a square of side 7cm . And APD and BPC are semicircles. (usepi=(22)/(7))

Find the area of the shaded region in the adjacent figure, where ABCD is a square of side 10cm and semicircles are drawn with each side of the square as diameter (usepi=3.14)

ABC is an isosceles triangle in which AB = AC. AD bisects exterior angle QAC and CD "||" BA as shown in the figure. Show that (i) angleDAC = angleBCA (ii) ABCD is a parallelogram

A figure consists of a semi - circle with a rectangle on its diameter . Given the perimeter of the figure , find the dimensions of the rectangle in order that the area may be maximum.

In the adjacent figure ABCD is a parallelogram ABEF is a rectangle show that DeltaAFD~=DeltaBEC .

Let ABCD is a square with sides of unit lenghts . Points E and F are taken on sides AB and AD respectively so that AE =AF . Let P be a point inside the square ABCD. Let a line passing throught point A divides the square ABCD into two parts so that area of one part is double to another , then lenght of the line segment inside the square is -

In the trapezium ABCD, AB"||"CD and two points P and Q are on the sides AD and BC respectively in such a way that PQ"||"DC . If PD=18cm , BQ =35 cm, QC = 15 cm, then the length of AP will be

In the trapezium ABCD , AB||DC and the two points P and Q are situated on the sides AD and BC in such a way that PQ||DC , if PD=18cm , BQ=35cm , QC=15cm , then the length of AD is.

ABCD is a square of side l . A line parallel to the diagonal BD at a distance 'x' from the vertex A cuts two adjacent sides. Express the area of the segment of the square with A at a vertex, as a function of x. Find this area at x=1//sqrt(2) and at x=2 , when l=2 .