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Write an expression for the perimeter of the triangle shown below:

A triangle is shown with side lengths labeled 0.3x plus 24, 5x, and 0.2x minus 15.

10x − 9
10x − 39
5.5x − 9
5.5x + 9



Answer :

Perimeter is the sum of the sides

.3x +24+ 5x+.2x-15  C
combine like terms , the answer is

5.5x + 9
abidemiokin

The perimeter of the triangle is [tex]5.5x+9[/tex]

If the sides of a triangle are[tex]s_1 ,s_2 \ and \ s_3[/tex]. The formula for calculating the perimeter of the triangle is expressed as:

[tex]P=s_1+s_2+s_3[/tex]

Given the sides of the triangle expressed as:

[tex]s_1=0.3x +24\\s_2=5x\\s_3=0.2x-15[/tex]

Substituting the given sides into the formula as shown:

[tex]P=0.3x+24+5x+0.2x-15\\P=0.3x+5x+0.2x+24-15\\P=5.5x+9[/tex]

Hence the perimeter of the triangle is [tex]5.5x+9[/tex]

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