Question

The formula for perimeter of a square with side length s is P = 4s.

If the length of each side of the square is tripled, how is the perimeter affected?


A. The perimeter remains the same.

B. The perimeter is nine times as great.

C. The perimeter is twice as great.

D. The perimeter is three times as great.

Answer 1

d

Explanation:

Answer 2

The correct option is D.

Explanation:

The formula for perimeter of a square with side length s is

`P=4s`

Let the side of new square is tripled of given square. The side length is 3s.

The new perimeter is

`P_1=4* 3s`

`P_1=12s`

Let the new perimeter is k times of the previous perimeter.

`P_1=k* P`

`12s=k* 4s`

`k=3`

The perimeter is three times as great.

Therefore the correct option is D.