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

In the given figure, ABCD is a rectangle and EFGH is a parallelogram. Using the measurements given in the figure, what is the length ''d'' of the segment that is perpendicular to overline(HE) and overline(FG) ?

In the figure, ABCD is a cyclic quadrilateral in which DC produced to E and CF is drawn parallel to AB such that angleADC=80^(@) and angleECF=20^(@) , then BAD = ?

In the above fig. square ABCD is a trapezium AB |\| CD and its area is 33 cm^(2) . From the information given in the figure, find the lengths of all sides of the square ABCD. Fill in the empty boxes to get the solution.

Find the diagonal of a rectangle whose length is 16 cm and area is 192 sq. cm. square ABCD is a rectangle (ii) AB = 16 cm (iii) A( square ABC) = 192 sq. cm

Find the equation of the curve which is such that the area of the rectangle constructed on the abscissa of any point and the intercept of the tangent at this point on the y-axis is equal to 4.

A running track of 440 ft is to be laid out enclosing a football field, the shape of which is a rectangle with a semi-circle at each end. If the area of the rectangular portion is to be maximum, then find the length of its sides.

Two dielectric slabs of dielectric constants K_(1) and K_(2) are filled in between the two plates, eachof area A of the parallel plate capacitor as shown in the figure. Find the net capacitance of the capacitor.