Area of a Rectangle - Examples, Exercises and Solutions

Question Types:
Area of a Rectangle: A shape consisting of several shapes (requiring the same formula)Area of a Rectangle: Calculation using the diagonalArea of a Rectangle: Extended distributive lawArea of a Rectangle: Subtraction or addition to a larger shapeArea of a Rectangle: Using Pythagoras' theoremArea of a Rectangle: Using short multiplication formulasArea of a Rectangle: Using ratios for calculationArea of a Rectangle: Worded problemsArea of a Rectangle: Calculate The Missing Side based on the formulaArea of a Rectangle: Using additional geometric shapesArea of a Rectangle: Applying the formulaArea of a Rectangle: Finding Area based off Perimeter and Vice VersaArea of a Rectangle: Using variables

How Do You Calculate the Area of a Rectangle?

Compared to other geometric figures, the rectangle is one of the simplest to work with.

One of the most frequent questions that comes up in exams is related to how to calculate the area of the rectangle.

Before we focus on it, let's do a brief review.

The formula for calculating the area of a rectangle is as follows:

A1 -Base DC x Height AD = Area of the rectangle

Base DC×Height AD=Area of rectangle Base~DC\times Height~AD=Area~of~rectangle

Detailed explanation

Practice Area of a Rectangle

Question 1

ABCD is a rectangle.

Given in cm:

AB = 7

BC = 5

Calculate the area of the rectangle.

777555AAABBBCCCDDD

Question 2

Given the following rectangle:

222555AAABBBDDDCCC

Find the area of the rectangle.

Question 3

Given the following rectangle:

111111777AAABBBDDDCCC

Find the area of the rectangle.

Question 4

Given the following rectangle:

666999AAABBBDDDCCC

Find the area of the rectangle.

Question 5

Given the following rectangle:

888444AAABBBDDDCCC

Find the area of the rectangle.

Examples with solutions for Area of a Rectangle

Exercise #1

ABCD is a rectangle.

Given in cm:

AB = 7

BC = 5

Calculate the area of the rectangle.

777555AAABBBCCCDDD

Video Solution

Step-by-Step Solution

Let's calculate the area of the rectangle by multiplying the length by the width:

AB×BC=7×5=35 AB\times BC=7\times5=35

Answer

35

Exercise #2

Given the following rectangle:

222555AAABBBDDDCCC

Find the area of the rectangle.

Video Solution

Step-by-Step Solution

Let's calculate the area of the rectangle by multiplying the length by the width:

2×5=10 2\times5=10

Answer

10

Exercise #3

Given the following rectangle:

111111777AAABBBDDDCCC

Find the area of the rectangle.

Video Solution

Step-by-Step Solution

Let's calculate the area of the rectangle by multiplying the length by the width:

11×7=77 11\times7=77

Answer

77

Exercise #4

Given the following rectangle:

666999AAABBBDDDCCC

Find the area of the rectangle.

Video Solution

Step-by-Step Solution

We will use the formula to calculate the area of a rectangle: length times width

9×6=54 9\times6=54

Answer

54

Exercise #5

Given the following rectangle:

888444AAABBBDDDCCC

Find the area of the rectangle.

Video Solution

Step-by-Step Solution

Let's calculate the area of the rectangle by multiplying the length by the width:

4×8=32 4\times8=32

Answer

32

Question 1

Look at rectangle ABCD below.

Side AB is 10 cm long and side BC is 2.5 cm long.

What is the area of the rectangle?
1010102.52.52.5AAABBBCCCDDD

Question 2

Look at the rectangle ABCD below.

Side AB is 4.5 cm long and side BC is 2 cm long.

What is the area of the rectangle?
4.54.54.5222AAABBBCCCDDD

Question 3

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?
666444AAABBBCCCDDD

Question 4

Look at the rectangle ABCD below.

Given in cm:

AB = 10

BC = 5

Calculate the area of the rectangle.

101010555AAABBBCCCDDD

Question 5

The width of a rectangle is equal to 15 cm and its length is 3 cm.

Calculate the area of the rectangle.

Exercise #6

Look at rectangle ABCD below.

Side AB is 10 cm long and side BC is 2.5 cm long.

What is the area of the rectangle?
1010102.52.52.5AAABBBCCCDDD

Video Solution

Step-by-Step Solution

Let's begin by multiplying side AB by side BC

If we insert the known data into the above equation we should obtain the following:

10×2.5=25 10\times2.5=25

Thus the area of rectangle ABCD equals 25.

Answer

25 cm²

Exercise #7

Look at the rectangle ABCD below.

Side AB is 4.5 cm long and side BC is 2 cm long.

What is the area of the rectangle?
4.54.54.5222AAABBBCCCDDD

Video Solution

Step-by-Step Solution

We begin by multiplying side AB by side BC

We then substitute the given data and we obtain the following:

4.5×2=9 4.5\times2=9

Hence the area of rectangle ABCD equals 9

Answer

9 cm²

Exercise #8

Look at the rectangle ABCD below.

Side AB is 6 cm long and side BC is 4 cm long.

What is the area of the rectangle?
666444AAABBBCCCDDD

Video Solution

Step-by-Step Solution

Remember that the formula for the area of a rectangle is width times height

 

We are given that the width of the rectangle is 6

and that the length of the rectangle is 4

 Therefore we calculate:

6*4=24

Answer

24 cm²

Exercise #9

Look at the rectangle ABCD below.

Given in cm:

AB = 10

BC = 5

Calculate the area of the rectangle.

101010555AAABBBCCCDDD

Video Solution

Step-by-Step Solution

Let's calculate the area of the rectangle by multiplying the length by the width:

AB×BC=10×5=50 AB\times BC=10\times5=50

Answer

50

Exercise #10

The width of a rectangle is equal to 15 cm and its length is 3 cm.

Calculate the area of the rectangle.

Video Solution

Step-by-Step Solution

To calculate the area of the rectangle, we multiply the length by the width:

15×3=45 15\times3=45

Answer

45

Question 1

Below is the rectangle ABCD, which has an area of 30 cm².

S=30S=30S=30555AAABBBCCCDDD

Side AB is equal to 5 cm.
What is the length of side BC?

Question 2

Given the following rectangle:

10.510.510.5555AAABBBDDDCCC

Find the area of the rectangle.

Question 3

Given the following rectangle:

666AAABBBDDDCCC3.5

Find the area of the rectangle.

Question 4

Given the following rectangle:

888AAABBBDDDCCC4.5

Find the area of the rectangle.

Question 5

The area of the rectangle below is equal to 24.

AC = 3

What is the length of side AB?

242424333AAABBBDDDCCC

Exercise #11

Below is the rectangle ABCD, which has an area of 30 cm².

S=30S=30S=30555AAABBBCCCDDD

Side AB is equal to 5 cm.
What is the length of side BC?

Video Solution

Step-by-Step Solution

First, we will multiply side AB by side BC.

We know that side BC equals 5, therefore:

AB×BC=AB×5 AB\times BC=AB\times5

We will label side AB as x x .

Therefore:

5x=30 5x=30

Next, we will divide both sides by 5 to get:

x=6 x=6

Therefore:
BC=6 BC=6

Answer

6 cm

Exercise #12

Given the following rectangle:

10.510.510.5555AAABBBDDDCCC

Find the area of the rectangle.

Video Solution

Step-by-Step Solution

Let's calculate the area of the rectangle by multiplying the length by the width:

10.5×5=52.5 \text{10}.5\times5=52.5

Answer

52.5

Exercise #13

Given the following rectangle:

666AAABBBDDDCCC3.5

Find the area of the rectangle.

Video Solution

Step-by-Step Solution

Let's calculate the area of the rectangle by multiplying the length by the width:

3.5×6=21 3.5\times6=21

Answer

21

Exercise #14

Given the following rectangle:

888AAABBBDDDCCC4.5

Find the area of the rectangle.

Video Solution

Step-by-Step Solution

Let's calculate the area of the rectangle by multiplying the length and width:

4.5×8=36 4.5\times8=36

Answer

36

Exercise #15

The area of the rectangle below is equal to 24.

AC = 3

What is the length of side AB?

242424333AAABBBDDDCCC

Video Solution

Step-by-Step Solution

The area of the rectangle is equal to its length multiplied by its width.

Let's begin by inserting the known data into the formula:

S=AB×AC S=AB\times AC

24=AB×3 24=AB\times3

Let's now divide both sides by 3:

AB=8 AB=8

Answer

8

More Questions

Topics learned in later sections

  1. Area
  2. Rectangle
  3. The perimeter of the rectangle
  4. Perimeter
  5. Congruent Rectangles