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

Exercise #1

Given the rhombus in the drawing:

444777

What is the area?

Video Solution

Step-by-Step Solution

Let's remember that there are two ways to calculate the area of a rhombus:

The first is the side times the height of the side.

The second is diagonal times diagonal divided by 2.

Since we are given both diagonals, we calculate it the second way:

7×42=282=14 \frac{7\times4}{2}=\frac{28}{2}=14

Answer

14

Exercise #2

In the drawing given a rhombus

The length of each side of the rhombus is 5 cm

The length of the height of the side is 3 cm

What is the area of the rhombus?

555555555555333

Video Solution

Answer

15 cm².

Exercise #3

Calculate the area of the rhombus in the figure below:

555222

Video Solution

Answer

10 cm²

Exercise #4

Given the rhombus in the figure

What is your area?

999999999999444

Video Solution

Answer

36 cm².

Exercise #5

Look at the rhombus in the figure.

What is its area?

777666

Video Solution

Answer

42 cm²

Exercise #6

Given the rhombus whose length of its sides is 8 cm

The length of the given height is 5 cm

What is the area of the rhombus?

888555

Video Solution

Answer

40 cm²

Exercise #7

Look at the rhombus in the diagram below.

What is the area of the rhombus?

555333

Video Solution

Answer

7.5 cm²

Exercise #8

Given the rhombus in the figure

What is your area?

101010888

Answer

80 cm²

Exercise #9

In the drawing given a rhombus

The length of the main diagonal 6 cm

The length of the secondary diagonal 4 cm

What is the area of the rhombus?

666444

Video Solution

Answer

12 cm²

Exercise #10

Given the rhombus in the drawing:

888131313

What is the area?

Video Solution

Answer

52

Exercise #11

Given the rhombus in the drawing:

666111111

What is the area?

Video Solution

Answer

33