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

Perimeter of the triangle=16
`(2)/(3)` feet

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=
`(21)/(4)`

2 5/6 =
`(17)/(6)`

8 7/12 =
`(103)/(12)`

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

=
`(21)/(4)` +
`(17)/(6)` +
`(103)/(12)`

=
`(63 +34 +103 )/(12)`

=
`(200)/(12)`

Perimeter of the triangle =
`(200)/(12)`

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

=50/3

Perimeter of the triangle=
`(50)/(3)`

=16
`(2)/(3)`

Perimeter of the triangle=16
`(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