# math

posted by .

A square whose side is 2m has it's corner cut away so as to form a octagon with all sides equal find the length of each side of octagon and also find the area of the octagon?

• math -

if the cutout of each side is x, the side of the octagon is x√2.

Also, 2x + x√2 = 2, so
x = 2-√2
the octagon side s = 2(√2-1)
check: 2(2-√2) + 2(√2-1) = 2

area of octagon with side s = 2s^2 (1+√2)
so, for us, that is 2(1+√2)(2√2-2)^2 = 8(√2-1)

## Similar Questions

1. ### geometry

The corners of the square, 2m. sides, are cut off to form a regular octagon. What is the length of the side of the resulting octagon?
2. ### geometry

The corners of the square, 2m. sides, are cut off to form a regular octagon. What is the length of the side of the resulting octagon?
3. ### geometry

The corners of the square, 2m. sides, are cut off to form a regular octagon. What is the length of the side of the resulting octagon?
4. ### geometry

The corners of the square, 2m. sides, are cut off to form a regular octagon. What is the length of the side of the resulting octagon?
5. ### geometry

The corners of the square, 2m. sides, are cut off to form a regular octagon. What is the length of the side of the resulting octagon?
6. ### geometry

The corners of the square, 2m. sides, are cut off to form a regular octagon. What is the length of the side of the resulting octagon?
7. ### geometry

The corners of the square, 2m. sides, are cut off to form a regular octagon. What is the length of the side of the resulting octagon?
8. ### geometry

The corners of the square, 2m. sides, are cut off to form a regular octagon. What is the length of the side of the resulting octagon?
9. ### geometry

The corners of the square, 2m. sides, are cut off to form a regular octagon. What is the length of the side of the resulting octagon?
10. ### maths-urgently needed

ABCD is a square with length of each side 1cm. An octagon is formed by lines joining the vertices of the square to the mid points of opposite sides. Find the area of the octagon?

More Similar Questions