Question A fence is in the shape of an isosceles triangle with a base of 61 feet. The perimeter of the fence is 190 feet. How long is
each of the equal sides of the fence?
Provide your answer below:
feet

x = 64.5 feet

Step-by-step explanation:

Equations

An isosceles triangle has two sides of the same length and one of different length.

The fence has the shape of an isosceles triangle with a base of 61 feet. The base is the side with a different length.

Call x to the length of each of the equal sides. Since the perimeter is the sum of all three sides, and the perimeter is given as 190 feet, then:

x + x + 61 = 190

Simplifying:

2x + 61 = 190

Subtracting 61:

2x = 190 - 61 = 129

Dividing by 2:

x = 129/2

x = 64.5 feet