Question

A triangle has side lengths of (6x + 10y) centimeters, (8x - 9z)

centimeters, and (4z - 7y) centimeters. Which expression represents the
perimeter, in centimeters, of the triangle?

Answer 1

(a) -5z +3y +14x

Explanation:

Given a triangle with side lengths of (6x+10y), (8x-9z), and (4z-7y) centimeters, you want an expression for the perimeter in centimeters.

Perimeter

The perimeter of a plane geometric figure is the sum of its side lengths.

P = (6x+10y) + (8x-9z) + (4z-7y) . . . . . centimeters

P = (6 +8)x +(10 -7)y +(-9+4)z . . . . . add coefficients of like terms

P = -5z +3y +14x . . . . . . . . . . . . . . simplify

The perimeter expression for the triangle is -5z +3y +14x centimeters.