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<

Question

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

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Ngọc Diệp 4 years 2021-08-01T15:45:54+00:00 1 Answers 19 views 0

Answers ( )

  1. Calantha
    0
    2021-08-01T15:47:21+00:00
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    Answer:

    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

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