Question

a triangle has side lengths of $(3.3u + 6.4)$ centimeters, $(9.9u - 2.9)$ centimeters, and $(4.2v + 7.5)$ centimeters. which expression represents the perimeter, in centimeters, of the triangle? answer $11 + 13.2u + 4.2v$ $11.7v + 7 + 9.7u$ $11.7v + 16.7u$ $13.2u + 11.7v + 3.5$

Explanation:

Step1: Recall the formula for the perimeter of a triangle

The perimeter \(P\) of a triangle is the sum of the lengths of its sides. So, \(P=(3.3u + 6.4)+(9.9u-2.9)+(4.2v + 7.5)\).

Step2: Combine like - terms

• Combine the \(u\) - terms: \(3.3u+9.9u=(3.3 + 9.9)u=13.2u\).
• Combine the constant terms: \(6.4-2.9 + 7.5=(6.4+7.5)-2.9=13.9-2.9 = 11\).
• The \(v\) - term remains as \(4.2v\).

So, \(P=13.2u+4.2v + 11\).

Answer:

\(11 + 13.2u+4.2v\)