Question

The corners of a square are cut off two centimeters from each corner to form an octagon. If the octagon is 10 centimeters wide, what is its area?

Answer 1

Explanation:

Area of octagon = area of square - area of 4 triangles that are formed in four corners

Area of square:

Side = Width of the octagon = 10 cm

Area = side * side

= 10 * 10

= 100 cm²

Area of triangle:

Base = 2cm

height = 2 cm

Area =
`(1)/(2)b*h`

=
`(1)/(2)*2*2`

= 2 cm²

Area of octagon = 100 - 2 = 98 cm²