To find the length of each side of an equilateral triangle, we start by understanding that all three sides are equal in length. The formula for the perimeter of an equilateral triangle is:
P = 3s
where P is the perimeter and s is the length of each side.
Given a perimeter of 15×3 + 33×5 feet, we first need to simplify that expression. Let’s break it down:
- Calculate 15×3: This equals 45.
- Calculate 33×5: This equals 165.
Now, adding those two values together, we get:
45 + 165 = 210 feet
Now that we have the total perimeter, we can find the length of one side:
The formula rearranges to solve for s:
s = P / 3
Substituting the perimeter into the equation:
s = 210 / 3 = 70
So, the length of each side of the equilateral triangle is 70 feet.