Question

A triangle has sides of lengths 4x, 2x + 7, and 8x. If the perimeter of the triangle is 35, what is the length of the longest side?

(A) 16

(B) 11

(C) 8

(D) 6

(E) 3

Answer 1

A

Explanation:

the perimeter is the sum of the 3 sides.

given perimeter = 35 , then

4x + 2x + 7 + 8x = 35 ( simplify left side )

14x + 7 = 35 ( subtract 7 from both sides )

14x = 28 ( divide both sides by 14 )

x = 2

the longest side is 8x , then

8x = 8 × 2 = 16