Answer the question with an algebraic expression. The first side of a triangle is k feet long. The second side is 4 feet longer than the first side. The third side is twice as long as the second side. What is the perimeter of the triangle in inches?
A) (48 k + 144) in.
B) (4 k + 12) in.
C) (48 k + 48) in.
D) (4 k + 4) in.
E) none of these

Question

Quizplus · Accepted Answer

The first side is k feet. 
The second side is 4 feet longer than the first side, so it is k+4 feet.
The third side is twice as long as the second side, so it is 2(k+4) = 2k+8 feet.
The perimeter is the sum of all three sides, so it is k + (k+4) + (2k+8) = 4k + 12 feet. 
Converting to inches, we multiply by 12 to get 48k + 144 inches. Therefore, the correct answer is (48k + 144) in.

Answer the Question with an Algebraic Expression