Answered

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5. Find the perimeter for the figure. Show the set-up and allwork.

5 Find The Perimeter For The Figure Show The Setup And Allwork class=

Sagot :

Explanation

The perimeter of a polygon is given by the sum of the length of its sides. For the polygon in the picture we have the following side lengths:

[tex]7,9x,10,3x,12,4x,15,2x[/tex]

Then their sum is:

[tex]7+9x+10+3x+12+4x+15+2x[/tex]

We can group like terms. Like terms are terms multiplied by the same power of x. In this case we have two groups of like terms: constants and terms multiplied by x. Then we group them:

[tex](7+10+12+15)+(9x+3x+4x+2x)[/tex]

We can use the distributive property in the terms with x. For example:

[tex]ax+bx+cx=(a+b+c)x[/tex]

We use this and we also add the constants so we get:

[tex]\begin{gathered} (7+10+12+15)+(9x+3x+4x+2x)=44+(9+3+4+2)x \\ 44+(9+3+4+2)x=44+18x \end{gathered}[/tex]Answer

Then the answer is that the perimeter of the figure is 18x+44.

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