The number of trianglular signboards that can be made if we add a green border inside the red border having a perimeter of 25 inches as shown are .

100

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zero

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only 1

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Infinite

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Solution

The correct option is D Infinite
Let the perimeter of the triangles inside the red border be x.

We have to make triangles such that the perimeter of the triangle is less than 25 inches (i.e, x < 25)

Since, there will be infinite rational numbers possible between any 2 numbers, so, we can draw infinite green colored borders within the red colored borders.

∴ The number of triangles obtained within the red border will be infinite.

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