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 perimeter formula

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 of \(u\)

Combine the terms with \(u\): \(3.3u+9.9u=(3.3 + 9.9)u = 13.2u\).

Step3: Combine constant terms

Combine the constant terms: \(6.4-2.9 + 7.5=(6.4+7.5)-2.9=13.9 - 2.9=11\).

Step4: Write the final expression

The perimeter expression is \(11 + 13.2u+4.2v\).

Answer:

11 + 13.2u + 4.2v