One of the four angles of a rhombus is 60°. If the length of each side of the rhombus is 8 cm, then the length of the longer diagonal is 

Base of the right prism is an equilateral triangle. If its height reduced to one-fourth and each side of the base is tripled, then the ratio of the volumes of the old prism to the new prism is-

A goat is tied with a 10.5 m-long rope to one corner of a plot which is in the shape of an equilateral triangle each side of which is 16 m long. Find the area that the goat can graze on.

If D and E are the mid-points of the side AB and AC respectively of the ∆ABC in the figure given here, the shaded region of the triangle is what percent of the whole triangular region?

The area of a square is 1764 cm² . The length of a rectangle is 4/7 of the side of the square and breadth of the rectangle is half its length. What is the perimeter of the rectangle?

If a regular polygon has 5 sides then the measure of its interior angle is greater than the measure of its exterior angle by how many degrees? 

If the sum of three dimensions and the total surface area of a rectangular box are 12 cm and 94 $$\ cm^2 $$ respectively, then the maximum length of a stick that can be placed inside the box is

The ratio of the area of a square to that of the square drawn on its diagonal is :