Perimeter And A...

A rectangular sheet of paper, when halved by folding it at the mid-point of its longer side, results in a rectangle which has longer and shorter sides in the same proportion as the longer and shorter sides of the original rectangle. If the shorter side of the original rectangle is 2 units, then what is the area of the smaller rectangle?

The ratio of the areas of a square and the square drawn on its diagonal is

A semi-circle is drawn with AB as its diameter. From C, a point on AB, a line perpendicular to AB is drawn meeting the circumference of the semi-circle at D. It is given that AC = 2 cm and CD = 6 cm. What will be the area of the semi-circle (in sq. cm)?

In a rectangle, the difference between the sum of the adjacent sides and the diagonal is half the length of the longer side. What is the ratio of the shorter to the longer side?

The perimeter of a square, whose area is equal to that of a circle with perimeter 2π x, is

A wire, bent in the form of a square, encloses an area of 121 cm². If the same wire is bent to form a circle, then what will be the enclosed area?