Question

If the length of any rectangle is increased by 7 and the width is unchanged, the perimeter is

A. Multipled by 7
B. Increased by 7
C. Multiplied by 14
D. Increased by 14

Answer 1

Answer: D. Increased by 14

Explanation:

We can create an example situation to help us visualize this problem.

The equation for a rectangle's perimeter can be found with P = 2L + 2W. Let us say that the L is 2 and the W is 3.

P = 2L + 2W

P = 2(2) + 2(3)

P = 10

Now, in our example situation, we will increase the length by 7. Now it is 9.

P = 2L + 2W

P = 2(9) + 2(3)

P = 24

Our perimeter increased by 14 (24 - 10 = 14), giving us option D as our answer.

This is because the formula multiplies this increase by 2, meaning that the end result is increased by 14 (since 7 * 2 = 14).