Question

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 ?

Answer 1

Answer:

Perimeter of the triangle=16 $\frac{2}{3}$ 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= $\frac{21}{4}$

2 5/6 =$\frac{17}{6}$

8 7/12 =$\frac{103}{12}$

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

                                          = $\frac{21}{4}$   +  $\frac{17}{6}$   +   $\frac{103}{12}$

                                         =$\frac{63 +34 +103 }{12}$

                                       

                                          =$\frac{200}{12}$

                   

Perimeter of the triangle  =    $\frac{200}{12}$

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

                                                                                =50/3

Perimeter of the triangle=$\frac{50}{3}$

                                         =16 $\frac{2}{3}$

Perimeter of the triangle=16 $\frac{2}{3}$  feet

Answer 2

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