Question

The perimeter of an equilateral triangle must be at most 57 feet. Create an inequality to find

what the length of the sides should be. Solve the inequality by showing all of your work.

Answer 1

inequality equation :3x ≤ 57

solution: x ≤ 19

Explanation:

Length of all sides in an equilateral triangle is same

thus, perimeter of an equilateral triangle is 3x

where x is the side length of an equilateral triangle.

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The perimeter of an equilateral triangle must be at most 57 feet.

It means that that

perimeter must be at most 57 or less that it.

Example perimeter can be 57, 56,52 or any number less than that but it cannot be 57.1, 58 and so on.

Thus, we can also say that

perimeter of an equilateral triangle must be less than or equal to 57 feet. perimeter of an equilateral triangle is give by 3x

where x is the side length

thus writing it in inequality form

3x ≤ 57

=>x ≤ 57/3

=> x ≤ 19

Thus,

inequality equation

3x ≤ 57

solution

x ≤ 19 ( it means length of side can be at-most 19 feet)