Question

one square is placed upon another so that a regular octagon is formed, along with eight right isosceles triangles each with its hypotenuse on a side of the octagon. if the perimeter of the octagon is 20 cm, find the perimeter of the star, in cm.

Answer 1

The perimeter of the star is 60 cm.

Step-by-step explanation:

To find the perimeter of the star, we need to calculate the length of each side of the octagon and each hypotenuse of the triangles. Since the perimeter of the octagon is given as 20 cm, we divide it by 8 to find the length of each side, which is 2.5 cm.

The hypotenuse of each triangle is equal to the side length of the octagon, so the perimeter of each triangle is 2.5 + 2.5 + 2.5 = 7.5 cm. There are 8 triangles, so the total perimeter of the star is 8 * 7.5 = 60 cm.