a square and an equilateral triangle have the same perimeter. Each side on the triangle is 1 inch longer than the side of the square. What is the perimeter of the square

48 inches

Step-by-step explanation:

Given:

A square and an equilateral triangle have the same perimeter

Each side of the triangle is 4 inches longer than each side of the square.

What to find:

What is the perimeter of the square =?

Solution:

Let the side of the square be  

Then the side of the triangle will be  

The Perimeter of square = Perimeter of an equilateral triangle

=  

Subtracting both sides by  

side of the square,  = 12 inches

side of triangle will be , 12 + 4 = 16 inches

Now, the perimeter of the square =  

Therefore, the perimeter of the square is 48 inches.

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