Question

The perimeter of a square is equal to the perimeter of an equilateral triangle. The length of a side of the square is given by x, and the length of a side of the equilateral triangle is given by x + 1. Which equation can be used to find the value of x?

Answer 1

Answer: The equation you could use is 4x = 3x + 3

Explanation:

THE SQUARE

A square has sides with 4 equal sides. If one side is equal to x, then every other side is also x.

Add x + x + x + x to get the square’s perimeter.

The sqaure’s perimeter is 4x.

THE TRIANGLE

An equilateral triangle has equal sides too. If one side is x + 1, every other side is x + 1 too.

Add, (x + 1) + (x + 1) + (x + 1)

the triangles perimeter is 3x + 1

BOTH

The triangle and the square have the same perimeter. Therefore,

4x = 3x + 3. That is the equation.

( The solution would be x = 3, by the way)

Answer 2

The equation is 4x=3x+3