Question

A triangle has a side lengths of (5.5x + 6.2y) centimeters, (4.3x+8.3z) centimeters and (1.6z -5.1y) cenrimeters which expression represents the perimeter,in centimeters of the triangle

Answer 1

Answer:

Perimeter of given triangle is ( 9.8x + 1.1y + 9.9z ) centimeters.

Step-by-step explanation:

Given : A triangle has a side lengths of (5.5x + 6.2y) centimeters, (4.3x+8.3z) centimeters and (1.6z -5.1y) centimeters  

We have to find the expression  that represents the perimeter (in centimeters)

of the triangle.

Perimeter of a figure is defined as the sum of all the sides.

Since given figure is triangle so perimeter of triangle is the sum of all the sides.

Given side lengths are

(5.5x + 6.2y) , (4.3x + 8.3z) and (1.6z -5.1y)

Thus, perimeter = (5.5x + 6.2y)  + (4.3x + 8.3z) + (1.6z - 5.1y)

Perimeter = 5.5x + 6.2y + 4.3x + 8.3z + 1.6z - 5.1y

LIKE TERMS are term with same variables.

Rearrange, we get

Perimeter = 5.5x + 4.3x + 6.2y - 5.1y + 8.3z + 1.6z

Adding like terms, we get,

Perimeter = (5.5 + 4.3)x + (6.2 - 5.1)y + (8.3 + 1.6)z

Perimeter = (9.8)x + (1.1)y + (9.9)z

Thus, Perimeter of given triangle is 9.8x + 1.1y + 9.9z centimeters.

Answer 2

(5.5x + 6.2y) + (4.3x + 8.3z) + (1.6z - 5.ly)
Combine Like Terms
9.8x + 1.1y + 14.5z 

So the perimeter is 
9.8x + 1.1y + 14.5z