Examples with solutions for Perimeter of a Rectangle: Applying the formula

Exercise #1

Look at the rectangle below.

Side AB is 2 cm long and side BC has a length of 7 cm.

What is the perimeter of the rectangle?
222777AAABBBCCCDDD

Video Solution

Step-by-Step Solution

Given that in a rectangle every pair of opposite sides are equal to each other, we can state that:

AB=CD=2 AB=CD=2

AD=BC=7 AD=BC=7

Now we can add all the sides together and find the perimeter:

2+7+2+7=4+14=18 2+7+2+7=4+14=18

Answer

18 cm

Exercise #2

Look at the rectangle below.

Side AB is 4.8 cm long and side AD has a length of 12 cm.

What is the perimeter of the rectangle?
4.84.84.8121212AAABBBCCCDDD

Video Solution

Step-by-Step Solution

In the drawing, we have a rectangle, although it is not placed in its standard form and is slightly rotated,
but this does not affect that it is a rectangle, and it still has all the properties of a rectangle.
 
The perimeter of a rectangle is the sum of all its sides, that is, to find the perimeter of the rectangle we will have to add the lengths of all the sides.
We also know that in a rectangle the opposite sides are equal.
Therefore, we can use the existing sides to complete the missing lengths.
 
4.8+4.8+12+12 =
33.6 cm

Answer

33.6 cm

Exercise #3

Look at the rectangle below.

Side DC has a length of 1.5 cm and side AD has a length of 9.5 cm.

What is the perimeter of the rectangle?

1.51.51.5AAABBBCCCDDD9.5

Video Solution

Step-by-Step Solution

Since in a rectangle every pair of opposite sides are equal to each other, we can state that:

AD=BC=9.5 AD=BC=9.5

AB=CD=1.5 AB=CD=1.5

Now we can add all the sides together and find the perimeter:

1.5+9.5+1.5+9.5=19+3=22 1.5+9.5+1.5+9.5=19+3=22

Answer

22 cm

Exercise #4

Calculate the perimeter of the rectangle below.

181818222

Video Solution

Step-by-Step Solution

To solve this problem, we'll start by identifying the given dimensions of the rectangle: the length l=18 l = 18 and the width w=2 w = 2 .

Next, we apply the perimeter formula for a rectangle, which is given by:

P=2(l+w) P = 2(l + w)

Substitute the given values for the length and width into the formula:

P=2(18+2) P = 2(18 + 2)

Calculating further, we find:

P=2×20=40 P = 2 \times 20 = 40

Thus, the perimeter of the rectangle is 40 40 . Among the provided answer choices, this corresponds to choice 1.

Answer

40

Exercise #5

What is its perimeter of the square?888

Video Solution

Step-by-Step Solution

Since in a square all sides are equal to each other, all sides are equal to 8 cm.

Now we can calculate the perimeter:

8×4=32 8\times4=32

Answer

32