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Sagot :

Answer:

Solution is 16r-14s

Step-by-step explanation:

2(7r-2s)+2(r-5s)

14r-4s+2r-10s

16r-14s

Answer:

16r - 14s

Step-by-step explanation:

The perimeter is a measure of a polygon that describes the distance around the boundaries of a shape.

Perimeter Formula

The perimeter of a rectangle is equal to [tex]l + l + w + w[/tex], where [tex]l[/tex] is the length and [tex]w[/tex] is the width. This can be simplified to [tex]2l+2w[/tex]. Now, we can plug in the expression we are given for width and length.

  • [tex]2(r-5s)+2(7r-2s)[/tex]

Simplifying the Expression

The expression above does accurately depict the perimeter, but it should be simplified to make the expression easier to understand and use.

First, distribute the 2 inside the parentheses.

  • [tex]2r-10s+14r-4s[/tex]

The next step is to combine like terms. Like terms are terms that have the same power and variable. For example, 2r and 14r are like terms.

  • 16r - 14s

This is the simplified expression and the final answer.