One corner of a long rectangular sheet of paper of width 1 unit is folded over so as to reach the opposite edge of the sheet. Find the minimum length of the crease.

One side of a rectangular piece of paper is 6 cm, the adjacent sides being longer than 6 cms. One corner of the paper is folded so that it sets on the opposite longer side. If the length of the crease is l cms and it makes an angle theta with the long side as shown, then l is

A rectangular sheet of paper is 12 1/2 cm long and 10 2/3 cm wide. Find its perimeter.

A field is in the form of a rectangle of length 18 m and width 15 m. A pit, 7.5 m long, 6 m broad and 0.8 m deep, is dug in a corner of the field and the earth taken out is spread over the remaining area of the field. Find out the extent to which the level of the field has been raised.

The area of a rectangular sheet is 500 cm^2 . If the length of the sheet is 25 cm, what is its width? Also find the perimeter of the rectangular sheet

On a square track of edge length 100 m, an athlete starts from one corner and reaches diagonally opposite corner. Find the distance and the magnitude of displacement of the athlete.

A double slit apparatus is immersed in a liquid of refractive index 1.33. It has slit separation of 1 mm and distance between he plane of slits and screen is 1.33 m. The slits are illuminated by a parallel beam of light whose wavelength in air is 6300 oversetcircA One of the slits of the apparatus is covered with a thin glass sheet of refractive index 1.53. Find the smallest thickness of the sheet to bring the adjacent minimum on the axis.

An open topped box is to be constructed by removing equal squares from each corner of a 3 metre by 8 metre. rectangular sheet of aluminium and folding up the sides. Find the volume of the largest such box.

Take a rectangular sheet (like a post - card) .fold it once length wise so that one half fits exactly over the other half . Is this fold a line of symmetry . Why ?