Find the length of the side of a regular octagon which is formed by cutting the corner of square of side 30 cm?

- If the side of square and its area is in the ratio of 7:28 then find its perimeter?
- Which one among the following is the smallest?
- If the length of certain rectangle is decreased by 4 cm and breadth is increased by 2 cm, it would result in a square of the same area. What is the perimeter of the original rectangle?
- A rectangular plot has an area of 490 m². If the length of the rectangular plot is 24.5 m. Find the perimeter of the rectangular plot.
- How many spherical bullets can be made out of a lead cylinder 45 cm high and 27 cm radius, each bullet being 3 cm in diameter?
- A tank 60m long, 45m broad and 18m deep is dug in a ground 2000 m long and 45m wide. By how much will the level of the field rise if earth dug out of the tank is evenly spread over the ground?
- 0.3̅2̅ + 0.54̅8̅ - 0.1̅9̅ is equal to :
- A well with 20 m inside diameter is dug 10 m deep. Soil taken out of it has been evenly spread all around it to a width of 30 m to form an embankment. Find the height of the embankment.
- On a rectangular wall of length 24 metres and height 19 metres, there is a window in the shape of triangle surmounted on a square. If the base of triangle and square overlap and length of each side of the square is 6 metres and length of altitude of the triangle is 4 metres, then excluding the window, what is the surface area of the wall?
- Perimeter of a square and circumference of a circle are in the ratio 7:11, respectively. If area of the square is 49 cm
^{2}, then find the radius of the circle. (Take π = 22/7)

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