The perimeter of a 5-sided figure is 45.56 meters. Two of the sides have the same length. The sum of the other three side lengths is 24.2 meters. How long is each of the same-length sides? Explain please I'm horrible at math!

Answer :

mike178
10.68 each for the 2 same length sides. The total of the 5 sides is 45.56 less the 3 sides which total 24.2 leaves 21.36 remaining for the 2 equal length sides. So divide 21.36 by 2 = 10.68
(45.56 - 24.2)/2 = 10.68

Answer: The length of each of the same length sides are 10.68 meters each.

Step-by-step explanation:

Since we have given that

Perimeter of 5 sides figure = 45.56 meters

Sum of three sides = 24.2 meters

As we know the formula for the perimeter of 5 sided figure  :

Perimeter = Sum of two sides + sum of other three sides

45.56=Sum of two sides + 24.2

45.56-24.2= sum of two sides

21.36 = sum of two sides

Since the length of two sides are same.

Let the length be 'x'.

So, our equation becomes,

[tex]x+x=21.36\\\\2x=21.36\\\\x=\dfrac{21.36}{2}\\\\x=10.68\ meters[/tex]

Hence, the length of each of the same length sides are 10.68 meters each.

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