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

Explanation:

48 inches I did it on my paper

Answer 2

48 inches

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*\ side` =
`3* 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*\ side`

=
`4*12 = 48` inches

Therefore, perimeter of the square is 48 inches.