Calculate the Area of a Rhombus with Diagonals 4 and 7 Units

Given the rhombus in the drawing:

444777

What is the area?

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Step-by-step video solution

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00:00 Find the area of the rhombus
00:03 We will use the formula to calculate the area of a rhombus
00:08 (diagonal multiplied by diagonal) divided by 2
00:14 We will substitute appropriate values and solve to find the area
00:25 And this is the solution to the problem

Step-by-step written solution

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1

Understand the problem

Given the rhombus in the drawing:

444777

What is the area?

2

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

3

Final Answer

14

Practice Quiz

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Calculate the area of the rhombus in the figure below:

555222

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