Question

Here is a right-angled triangular tile.

A hollow shape is made using four of these
triangular tiles and four square tiles.
Work out the perimeter of the hollow shape.

Answer 1

To find the perimeter of the hollow shape made using four triangular tiles and four square tiles, add the perimeters of the square tiles and triangle tiles. The equation for the perimeter is 7s + h.

Step-by-step explanation:

To find the perimeter of the hollow shape made using four triangular tiles and four square tiles, we need to find the lengths of all the sides. Let's assume that the side length of the square tile is 's' and the hypotenuse of each triangular tile is 'h'.

The perimeter of the hollow shape = perimeter of one square tile + perimeter of one triangular tile

Perimeter of one square tile = 4s

Perimeter of one triangular tile = length1 + length2 + hypotenuse = s + 2s + h = 3s + h

Perimeter of the hollow shape = 4s + 3s + h = 7s + h