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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.


Sagot :

The perimeter of the hollow shape is 16d + 4(a + b + c)

How to determine the perimeter?

The question is incomplete, and the missing parameters cannot be found.

So, I will give a general explanation on how to determine perimeter.

The given information are:

  • 4 right triangles
  • 4 squares

The perimeter of a right triangle that has sides a, b and c is:

P = a + b + c

Since there are 4 triangles, the perimeter of the 4 triangles is:

P = 4(a + b + c)

The perimeter of a square that has side length d is:

P = 4d

Since there are 4 squares, the perimeter of the 4 triangles is:

P = 4 * 4d

P = 16d

Add the perimeters of the squares and the triangles

P = 16d + 4(a + b + c)

Hence, the perimeter of the hollow shape is 16d + 4(a + b + c), where a, b, c and d are the unknown variables

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