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A square and an Equilateral triangle have the same perimeter. Each side the triangle is 4 inches longer than each side of the square. What is the perimeter of the square

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Answer:

Step-by-step explanation:

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 is the perimeter of the figures?

:

Let x = side of the square

then

(x+4) = side of the triangle

;

Perimeter of the square = 4x

Perimeter of the triangle = 3(x+4)

:

It says they are equal

4x = 3(x+4)

4x = 3x + 12

4x - 3x = 12

x = 12 is the side of the square (4*12=48)

and

12 + 4 = 16 is the side of the triangle (3*16=48)

;

What is the area of the square?

12^2 = 144 inches

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