Question

A triangle has side lengths of (1.4u+9.6)(1.4u+9.6) centimeters, (4.3u-9.9)(4.3u−9.9) centimeters, and (5.3v+1.8)(5.3v+1.8) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answer 1

5.7u+5.3v+1.5

Explanation:

Given a triangle with side lengths s1, s2 and s3, the perimeter of the triangle in centimetre is expressed as the sum of all the sides of the triangle i.e

Perimeter of a triamgle = s1+s2+s3

Given the sides of the triangle in question as (1.4u+9.6) centimeters, (4.3u-9.9)centimeters, and (5.3v+1.8) centimeters, the perimeter of the triangle will be the sum of all the functions as shown;

Let s1 = (1.4u+9.6)cm

s2 = (4.3u-9.9)cm

s3 = (5.3v+1.8) cm

Perimeter of the triangle = 1.4u+9.6 + 4.3u-9.9 + 5.3v+1.8

collect like terms

P = 1.4u+ 4.3u+5.3v+9.6-9.9 +1.8

P = 5.7u+5.3v+1.5

Hence the expression that represents the perimeter of the triangle is 5.7u+5.3v+1.5