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?

Step-by-step 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 =

        =

       = 2  cm²

Area of octagon = 100 - 2 =  98  cm²

28

step-by-step explanation:

8+8+6+6

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6