Thursday

July 24, 2014

July 24, 2014

Posted by **Anonymous** on Tuesday, February 5, 2013 at 7:07am.

- maths-urgently needed -
**Steve**, Tuesday, February 5, 2013 at 11:15amLet the corners of the square be at (0,0),(1,0),(0,1),(1,1)

y=1-2x intersects y=(1-x)/2 at (1/3,1/3)

So, in each of 4 quadrants, the exterior of the octagon is a trapezoid and a triangle

trapezoid has area 3/16

triangle has area 1/48

sum has area 5/24

The 4 have area 5/6

The octagon thus has area 1/6

Or, consider that the octagon has

side = √5/12

apothem = 1/2√5

area = 1/2 * 8√5/12 * 1/2√5 = 1/6

**Related Questions**

geometry - ABCD is a square of side length 1. E , F , G and H are the midpoints ...

maths - find the area of a square ABCD 16 square meter.find the area of the area...

maths-urgently needed - ABCD is a trapezium, P and Q are mid points of the ...

maths - Let ABCD be a square with side legnth 7cm. Another square KLMN is ...

geometry - show that the quadrilateral formed by joining the mid -points of the ...

geometry - Given: QRST is a parallelogram. Prove: QRST is a square. Complete ...

geometry - A square measures 18feet 6inches in length. If an octagon is ...

Mathematics - A regular octagon is formed by cutting off the corners of a square...

MAths - A unit square is drawn in the Cartesian plane with vertices at (0,0),(0,...

math - A square whose side is 2m has it's corner cut away so as to form a ...