Question

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 square

Answer 1

Answer:

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.

To find:

What is the perimeter of the square = ?

Solution:

Let side of square be $x$

Then side of triangle will be $x+4$

Perimeter of square = Perimeter of equilateral triangle

$4\times\ side$ = $3\times side$

$4x = 3(x + 4)\\4x = 3x + 12$

Subtracting both side by $3x$

$4x - 3x = 3x - 3x + 12\\x = 12$

side of square, $x$ = 12 inches

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

Now,  perimeter of the square = $4\times\ side$

                                                     = $4\times12 = 48$ inches

Therefore, perimeter of the square is 48 inches.

Answer 2

Answer:

Step-by-step explanation:

48 inches I did it on my paper