Question

the figure is an equilateral triangle with side length s. find two algebraic expressions that use different operations to represent the perimeter of the figure.
which expressions represent the perimeter of the figure? select all that apply.
a. 3s
b. s + s + s
c. s + 2 + s + s
d. s + s + s + s

Explanation:

Step1: Recall the definition of perimeter

The perimeter of a polygon is the sum of the lengths of its sides.

Step2: Analyze each option

• Option A: \(3s\) (multiplication: \(s + s+ s=3s\))
• Option B: \(s + s+ s\) (addition)
• Option C: \(s + 3+ s\) (incorrect, should be \(s + s+ s\))
• Option D: \(s + s+ 3\) (incorrect, should be \(s + s+ s\))

Answer:

A. \(3s\), B. \(s + s+ s\)