The perimeter of triangle is 42 inches one side is 18 inches the shortest side is X inches the longest side is 1 inch less than four times the length of the sho

Question

I'm hoping to find my answer here!!

Answer 1

Shortest side = x, Longest Side = 4x-1, third side = 18
Equation is x + (4x-1) + 18 = 42  so   5x-1 = 42-18=24 and 5x=25 so x = 5, longest side = 4(5)-1=19, third side=18
Add all 3 (5+19+18) to get 42

Answer 2

So, the goal here is to solve for x. To do this you will need to create an equation yourself. To start, you know the whole perimeter equals 42, so you are going to place that on the right hand side of the equal side. like this = 42. Now you also know that one side is 18. So, recall that the perimeter is the addition of each side

 

A + B + C = Perimeter.

 

We will name the side with 18, A. So, we have

 

18 + B + C = 42. 

 

Now we are told the shortest side equals x. So, lets name B as x. Now we have

 

18 + x + C = 42.

 

Then they inform us that the last side is 1 inch less than 4 times the shortes length, which is x. What that mean is we have 4 times x minus 1. Which looks like this, 4x - 1 = C. As you can see that is the value for C. So, we will plug that into the original perimeter equation to get (4x-1)+x+18=42. Now we can use basic operations for addition and subtraction to combine terms. We will get

 

4x + x - 1 + 18 = 42. I did this using the commutative property of addition. Combine like terms to get

 

5x + 17 = 42.

 

Subtract 17 from both sides to get 

 

5x = 25

 

Now divide 5 on both sides to get

 

x = 5

 

From here we can go back and see that B = x which was our shortest side, and C = 4x-1.

When we plug x back into both of these equations we get

B = 5    and C = 4(5) - 1 which equals C = 19 

 

I am guessing that your are looking for those numbers. Your questions got cut off. I hope this helps.