Area of a Rectangle: Applying the formula

A shape consisting of several shapes (requiring the same formula)Calculation using the diagonalExtended distributive lawSubtraction or addition to a larger shapeUsing Pythagoras' theoremUsing short multiplication formulasUsing ratios for calculationWorded problemsCalculate The Missing Side based on the formulaUsing additional geometric shapesFinding Area based off Perimeter and Vice VersaUsing variables
Question 1

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

Calculate the area of the rectangle.

Question 2

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 3

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 4

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 5

Given the following rectangle:

666999AAABBBDDDCCC

Find the area of the rectangle.

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

Exercise #1

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

Exercise #2

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 #3

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 #4

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 #5

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

Question 1

Given the following rectangle:

888444AAABBBDDDCCC

Find the area of the rectangle.

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

Look at the rectangle ABCD below.

Given in cm:

AB = 10

BC = 5

Calculate the area of the rectangle.

101010555AAABBBCCCDDD

Question 5

ABCD is a rectangle.

Given in cm:

AB = 7

BC = 5

Calculate the area of the rectangle.

777555AAABBBCCCDDD

Exercise #6

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

Exercise #7

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 #8

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 #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

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

Question 1

Given the following rectangle:

888AAABBBDDDCCC4.5

Find the area of the rectangle.

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

The width of a rectangle is equal to \( 18 \)cm and its length is \( 2~ \)cm.

Calculate the area of the rectangle.

Exercise #11

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 #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

The width of a rectangle is equal to 18 18 cm and its length is 2  2~ cm.

Calculate the area of the rectangle.

Video Solution

Answer

36