165k views
5 votes
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?

2 Answers

4 votes

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)

User Tom Smith
by
8.7k points
1 vote
The equation is 4x=3x+3
User ErsatzRyan
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories