A triangle has side lengths of ( 4h + 2k) centimeters, (9h + 4m) centimeters, and (2m - k) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

P = (13h+k+6m) cm

Step-by-step explanation:

Given that,

The side lengths of a triangle are :

(4h + 2k) cm, (9h + 4m) cm, and (2m - k) cm

We need to find the perimeter of the triangle.

We know that,

Perimeter = sum of all sides

So,

P = (4h + 2k)+(9h + 4m)+(2m - k)

= (4h+9h)+(2k-k)+(4m+2m)

= 13h+k+6m

Hence, the perimeter of the triangle is (13h+k+6m) cm.

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