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A triangle has side lengths of
(9.1 g-3.1) centimeters,
(1.4 g+4.2) centimeters, and
(1.9 h+4.4) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

6.3 h+10.5 g+1.1

5.6+6.3 h+6g

10.5 g+1.9 h+5.5

11.6 g+6.3 h

A triangle has side lengths of $(9.1 g-3.1)$ centimeters, $(1.4 g+4.2)$ centimeters, and $(1.9 h+4.4)$ centimeters. Which expression represents the perimeter, in centimeters, of the triangle? $\newline$ $6.3 h+10.5 g+1.1$ $\newline$ $5.6+6.3 h+6 g$ $\newline$ $10.5 g+1.9 h+5.5$ $\newline$ $11.6 g+6.3 h$

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Volume of cubes and rectangular prisms: word problems

Full solution

Q. A triangle has side lengths of

(9.1 g-3.1)

centimeters,

(1.4 g+4.2)

centimeters, and

(1.9 h+4.4)

centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

\newline

6.3 h+10.5 g+1.1

\newline

5.6+6.3 h+6 g

\newline

10.5 g+1.9 h+5.5

\newline

11.6 g+6.3 h

Identify Given Side Lengths: Identify the given side lengths of the triangle. $\newline$ Side $1$ : $(9.1 g - 3.1)$ cm $\newline$ Side $2$ : $(1.4 g + 4.2)$ cm $\newline$ Side $3$ : $(1.9 h + 4.4)$ cm $\newline$ The perimeter of a triangle is the sum of the lengths of its sides.
Calculate Perimeter: Add the expressions for each side length to find the perimeter. $\newline$ Perimeter = $(9.1 g - 3.1) + (1.4 g + 4.2) + (1.9 h + 4.4)$ $\newline$ Combine like terms to simplify the expression.
Combine Terms and Simplify: Combine the terms with $g$ . $(9.1 g + 1.4 g) = 10.5 g$ Combine the constant terms $(-3.1 + 4.2 + 4.4)$ . $(-3.1 + 4.2 + 4.4) = 5.5$ Combine the terms with $h$ . $(1.9 h) = 1.9 h$ Now, add the simplified terms together. Perimeter = $10.5 g + 1.9 h + 5.5$

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