can you solve the perimeter challenge?

Question

the length of the second side of a triangle is 2.5 times that of the first side. the length of the third side is 3 times that of the first side. if the perimeter is 65 cemtimeters, find the length of each side.and show how you solved it.

Answer 1

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.. the original side (side one) .. is x.

.. the second side is 2.5x .. and the third side is 3x

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.. solve for x:


2.5x + 3x + x = 65
6.5x = 65

therefore x = 10

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Answer 2

I'm not going to do your homework for you, but I'll help you to set it up.
The length of the second and third sides are given in terms of the first side. So let x represent the first side.

The formula for the perimiter of the triangle is a + b + c = 65
side a is x
side b is 2.5 times side a = 2.5x
side c is 3 times side a = 3x
So the equation will look like:
x + 2.5x + 3x = 65
now solve for x.
Start by combining all the x terms 1 + 2.5 + 3 = ?
Then divide 65 by the number you got in the last step.
That will give you x which = side a
Multiply x times 2.5 and you have side b.
Multiply x times 3 and you have side c.

Answer 3

since the second side is 2.5 times that of the first side, you can assign a variable to denote their relationship: 2.5x. the same can also be done for the third side, 3x. the x variable indicates the first side.
then, just add them together, and equate them to 65, and solve accordingly.
x + 2.5x + 3x = 65
6.5x = 65
x = 10
First side: 10 cm
Second side: 10 x 2.5 = 25 cm
Third side: 10 x 3 = 30
if you check the answers, you will find that they are equal to 65 cm.

Answer 4

If the first side is x, then
the 2nd side is 2.5 x and the 3rd side is 3 x.

x + 2.5 x + 3 x = 65 (add all three sides to get the perimeter)
6.5 x = 65
x = 10

So - the first side is 10, the second side is 25, and the third side is 30.