Finding the perimeter of a rectangle when the length and the width are given and finding the length or the width when the perimeter is given are the goals of this lesson
Start with the rectangle below and label the width w and the length l
Given a rectangle with side length (l) and width (w), the perimeter (P) or distance around the outside of the rectangle can be found by doing
P = l + w + l + w = 2 × l + 2 × w
Example #1:
Find the perimeter of a rectangle when l = 5 cm and w = 3 cm
P = 2 × 5 + 2 × 3
P = 10 + 6
P = 16
Notice that it is perfectly ok to do P = 5 + 3 + 5 + 3 = 8 + 8 = 16
However, it is usually easier and quicker to multiply each dimenssion by 2 and adding the result.
Example #2:
Find the perimeter of a rectangle when l = 9 cm and w = 5 cm
P = 2 × 9 + 2 × 5
P = 18 + 10
P = 28
Example #3:
Find the perimeter of a rectangle when l = 2/4 cm and w = 3/6 cm
P = 2 × 2/4 + 2 × 3/6
P = 2/1 × 2/4 + 2/1 × 3/6
P = (2 × 2)/(1 × 4) + (2 × 3)/(1 × 6)
P = 4/4 + 6/6
P = 1 + 1 = 2 cm
Example #4:
A rectangle has a perimeter of 14 inches. Find the length of the rectangle if the width is 4 inches
Here, given the perimeter and the width, you are asked to find the length of the rectangle.
We know that P = 2 × l + 2 × w
You should replace P by 14 and w by 4 because that is what they gave you.