Question

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A triangle has side lengths of (4.5m - 2.7) centimeters, (9.4m + 4.2) centimeters,
and (5.3n +9.7) centimeters. Which expression represents the perimeter, in
centimeters, of the triangle?
a. 15n + 13.9m + 1.5
b.13.9m + 5.3n + 11.2
c.15n + 1.8m + 13.6
d.15.4m + 150

Answer 1

Answer: its B

Explanation:

4.5m-2.7+9.4m+4.2+5.3n+9.7

4.5m+9.4m+5.3n−2.7+4.2+9.7

4.5m + 9.4m + 5.3 -2.7 +4.2 + 9.7

13.9m + 5.3n + 11.2

Answer 2

Given:

The side lengths of a triangle are (4.5m - 2.7) centimeters, (9.4m + 4.2) centimeters, and (5.3n +9.7) centimeters.

To find:

The perimeter of the triangle.

Solution:

Perimeter of the triangle is the sum of all side lengths of a triangle.

`Perimeter=(4.5m-2.7)+(9.4m+4.2)+(5.3n+9.7)`

On combining like terms, we get

`Perimeter=(4.5m+9.4m)+5.3n+(4.2-2.7+9.7)`

`Perimeter=13.9m+5.3n+11.2`

The perimeter of the triangle is (13.9m+5.3n+11.2) centimeters.

Therefore, the correct option is b.