The perimeter of a square with diagonal 29√2 cm is equal to the perimeter of a rectangle. Find the area of the rectangle if the length of the rectangle is 8 cm more than the breadth of the rectangle?

The diagonal of a right angle isosceles triangle is 5 cm. Its area will be

The sum of length, breadth and height of a cuboid is 20 cm. If the length of the diagonal is 12 cm, then find the total surface area of cuboid.

Two equal circles intersect such that each pass through the center of the other. If the length of the common chord of the circle is 10√3 cm, then what is the diameter of the circle?

△ABC ∼ △DEF. If the areas of △ABC and △DEF are 100 cm² and 81 cm², respectively and the altitude of △DEF is 6.3 cm, then the corresponding altitude of △ABC is:

In a triangle ABC, D is a point on BC such that $${AB\over AC}={BD\over DC}.$$ If ∠B = 68° and ∠c = 52°, then measure of ∠BAD is equal to:

The base of a right pyramid is a square of side 10 cm. If its height is 10 cm, then the are (in cm²) of its lateral surface is:

The radii of the ends of a frustum of a cone 7 cm high are 5 cm and 3 cm. Find its volume correct to one decimal place. (Use π=22/7)