Answered

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?

Answer :

MrRoyal

The perimeter of a shape is the sum of its side lengths.

The perimeter of the triangle is 13h + 6m + k

The sides are given as:

[tex]Sides = \{(4h + 2k), (9h + 4m), (2m - k)\}[/tex]

The perimeter (P) is then calculated as:

[tex]P = Side_1 + Side_2 + Side_3[/tex]

So, we have:

[tex]P = 4h + 2k + 9h + 4m + 2m - k[/tex]

Collect like terms

[tex]P = 4h + 9h + 4m + 2m + 2k - k[/tex]

[tex]P = 13h + 6m + k[/tex]

Hence, the perimeter is 13h + 6m + k

Read more about perimeters at:

https://brainly.com/question/6465134

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