Question

A triangle has side lengths of (6.9u +6.1) centimeters, (9.3u – 7.5) centimeters,

and (5.1v + 6.7) centimeters. Which expression represents the perimeter, in
centimeters, of the triangle?
A) 11.80 + 16.2u - 1.4
B) 14.8u + 11.8V
C) 16.2u +5.1v + 5.3
D) 13u + 11.8v + 1.8

Answer 1

The perimeter of the triangle with sides (6.9u + 6.1) cm, (9.3u – 7.5) cm, and (5.1v + 6.7) cm is represented by the expression 16.2u + 5.1v + 5.3 cm.

Step-by-step explanation:

To find the perimeter of a triangle, we add the lengths of all of its three sides. In this case, the side lengths are given by algebraic expressions. Therefore, the perimeter P of this triangle with sides (6.9u + 6.1) cm, (9.3u – 7.5) cm, and (5.1v + 6.7) cm can be found by simply adding these expressions:

P = (6.9u + 6.1) + (9.3u – 7.5) + (5.1v + 6.7)

Combining like terms, we get:

P = (6.9u + 9.3u) + (5.1v) + (6.1 – 7.5 + 6.7)

P = 16.2u + 5.1v + 5.3

Thus, the correct expression for the perimeter is 16.2u + 5.1v + 5.3 centimeters.