The area of a shape is the amount of space it occupies
The area of the rhombus is 24.7 square inches
Start by calculating the length BO using the following Pythagoras theorem
[tex]BC^2 = AO^2 + BO^2[/tex]
So, we have:
[tex]5^2 = 3.8^2 + BO^2[/tex]
Evaluate the exponents
[tex]25 = 14.44 + BO^2[/tex]
Collect like terms
[tex]BO^2 = 25 - 14.44[/tex]
[tex]BO^2 = 10.56[/tex]
Take the square roots
[tex]BO = 3.25[/tex]
The area of the rhombus is then calculated as:
[tex]Area = \frac{2BO * 2AO}{2}[/tex]
This gives
[tex]Area = \frac{2 * 3.25 * 2 * 3.8}{2}[/tex]
[tex]Area = 24.7[/tex]
Hence, the area of the rhombus is 24.7 square inches
Read more about areas at:
https://brainly.com/question/24487155
