Question

Use the diagram shown to the right to find the unknown lengths of sides. The perimeter of the triangle is 141 meters

Answer 1

The unknown lengths of sides are 35, 27 and 42

How to determine the unknown lengths of sides

From the question, we have the following parameters that can be used in our computation:

The triangle

The perimeter is the sum of the side lengths

So, we have

5x + 7x + 2 + 7x + 6 = 141

Evaluating the like terms, we have

19x = 133

So, we have

x = 7

Next, we have the side lengths to be

5x = 5 * 7 = 35

7x + 2 = 7 * 5 + 2 = 37

7x + 6 = 7 * 5 + 6 = 42

Hence, the unknown lengths of sides are 35, 27 and 42

Answer 2

As given by the question

There are given that the perimeter of the triangle is 141 meters.

Now,

From the formula of the perimeter of the triangle:

`P=a+a+a`

Where, a are represent three sides of the given triangle

So,

Put the value of sides into the given formula

Then,

`\begin{gathered} P=a+a+a \\ 141=5x+7x+2+7x+6 \\ 141=19x+8 \\ 19x=141-8 \\ 19x=133 \\ x=7 \end{gathered}`

Then, put the value x into all side

So,

The length of side measuring 5x is:

`\begin{gathered} 5x=5*7 \\ =35 \end{gathered}`

The length of side measuring (7x+2) is;

`\begin{gathered} 7x+2=7(7)+2 \\ =49+2 \\ =51 \end{gathered}`

And,

The length of sides measuring (7x+6) is:

`\begin{gathered} 7x+6=7(7)+6 \\ =49+6 \\ =55 \end{gathered}`