Respuesta :

Perimeter = add up the sides

P = 5 1/4 + 2 5/6 + 8 7/12

need to get a common denominator of 12

5 1/4*3/3 = 5 3/12

2 5/6*2/2 = 2 10/12

8 7/12

P = 5 3/12+ 2 10/12 + 8 7/12

P = (5+2+8)+(3+10+7)/12

P=15 (20/12)

P =15 + 1 8/12

P = 16 2/3 ft

Answer:

Perimeter of the triangle=16 [tex]\frac{2}{3}[/tex] feet

Step-by-step explanation:

A triangle has 3 sides that measure 5 1/4 feet, 2 5/6 feet, and 8 7/12 feet what is the perimeter of the triangle ?

To find the perimeter of the triangle, we will add the measure of all the 3 sides.

Perimeter of the triangle =5 1/4 +2 5/6 +8 7/12

For easy addition, we will change all the mixed fraction to an improper fraction

5 1/4= [tex]\frac{21}{4}[/tex]

2 5/6 =[tex]\frac{17}{6}[/tex]

8 7/12 =[tex]\frac{103}{12}[/tex]

Perimeter of the triangle =5 1/4 +2 5/6 +8 7/12

                                          = [tex]\frac{21}{4}[/tex]   +  [tex]\frac{17}{6}[/tex]   +   [tex]\frac{103}{12}[/tex]

                                         =[tex]\frac{63 +34 +103 }{12}[/tex]

                                       

                                          =[tex]\frac{200}{12}[/tex]

                   

Perimeter of the triangle  =    [tex]\frac{200}{12}[/tex]

This fraction can be reduce to its lowest term;  200÷4   /   12÷4

                                                                                =50/3

Perimeter of the triangle=[tex]\frac{50}{3}[/tex]

                                         =16 [tex]\frac{2}{3}[/tex]

Perimeter of the triangle=16 [tex]\frac{2}{3}[/tex]  feet

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