Answered

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

Verified 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 \(5.5x+9\)

If the sides of a triangle are\(s_1 ,s_2 \ and \ s_3\). The formula for calculating the perimeter of the triangle is expressed as:

\(P=s_1+s_2+s_3\)

Given the sides of the triangle expressed as:

\(s_1=0.3x +24\\s_2=5x\\s_3=0.2x-15\)

Substituting the given sides into the formula as shown:

\(P=0.3x+24+5x+0.2x-15\\P=0.3x+5x+0.2x+24-15\\P=5.5x+9\)

Hence the perimeter of the triangle is \(5.5x+9\)

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