Question

A triangle has side lengths of (6.2p + 4.5q) meters, (3.4p – 0.7r) meters, and (2.9r – 4.1q) meters. Which expression represents the perimeter, in meters, of the triangle?

A 9.6p + 0.4q + 2.2r
B 9.6p + 7.4q – 4.8r
C 9.6p – 1.2qr
D 10.7pq + 2.7pr – 1.2qr

Answer 1

A

Explanation:

THe perimeter is the sum of all the sides.

A triangle has 3 sides and we sum up the expressions to find the expression for perimeter.

Lets do this:

`(6.2p + 4.5q)+(3.4p-0.7r)+(2.9r-4.1q)\\=(6.2p+3.4p)+(4.5q-4.1q)+(-0.7r+2.9r)\\=9.6p+0.4q+2.2r`

We have added "p"s and "q"s and "r"s, together.

THe answer is Option A