Certainly! Let's break down the problem step-by-step.
1. Understanding the Problem:
- We have a rectangular piece of cardboard.
- The dimensions of the cardboard are given as:
- Length [tex]\( L = 31 \)[/tex] cm
- Width [tex]\( W = 17 \)[/tex] cm
- We are required to calculate the perimeter of the cardboard.
2. Formula for Perimeter:
- The perimeter [tex]\( P \)[/tex] of a rectangle can be found using the formula:
[tex]\[
P = 2(L + W)
\][/tex]
3. Substitute the Given Values:
- Here, [tex]\( L = 31 \)[/tex] cm and [tex]\( W = 17 \)[/tex] cm.
- Substitute these values into the formula:
[tex]\[
P = 2(31 + 17)
\][/tex]
4. Calculation:
- First, perform the addition inside the parentheses:
[tex]\[
31 + 17 = 48
\][/tex]
- Next, multiply the result by 2:
[tex]\[
P = 2 \times 48 = 96
\][/tex]
So, the perimeter of the cardboard is:
[tex]\[
P = 96 \text{ cm}
\][/tex]