calculus question

Question

The perimeter of a triangle is 26 inches. If the longest side is twice as long as the shortest side, and the third side is 2 inches longer than the shortest side. Which algebraic equation would best represent the side lengths of the triangle?

a. x + 2x + 3x = 26

b. x + 2x + 3x = 26

c. x + 2y + z + 2 = 26

d. x+x +2+2x=26

Answer 1

Let x be the length of the shortest side.

" longest side is twice as long as the shortest side" 2x

"third side is 2 inches longer than the shortest side" x + 2

Perimeter = (side 1) + (side 2) + (side 3)

x + (x +2) + 2x = 26