The length of diagonal of a square is $${15\sqrt { 2}}$$cm. Its area is

The price of $$ {4{1\over2}}$$ meter of cloth is Rs.$$ {60{3\over4}}$$. Find the cost per meter.

A prism and a pyramid have the same base and the same height. Find the ratio of the volumes of the prism and the pyramid.

Each side of a square is 6 cm. On which a pyramid has been built, its slant height is 4: 2 cm. Find the total surface of the pyramid?

A rectangular LCD has an area of 480 $${{cm^2}}$$ and a perimeter of 92 $${{cm^2}}$$ . If the size of the LCD is defined of the diagonal, then what the size of the LCD?

The sides of a triangle are in the ratio 2 : 3 : 4. The perimeter of the triangle is 18 cm. The area (in cm²) of the triangle is

A circle touches all four sides of a quadrilateral ABCD. If AB = 18 cm, BC = 21 cm and  = 15 cm, then length CD is: 

The diameters of two circles are 12 cm and 20 cm, respectively and the distance between their centres is 16 cm. Find the number of common tangents to the circles.