Respuesta :

Using the formula for calculating the area of a rhombus, the length of /AC/ is 44 units

Calculating the area of a Rhombus

From the question, we are to determine the length of AC

The area of a rhombus is given by

[tex]A = \frac{pq}{2}[/tex]

Where A is the area

p and q are the diagonals

Then, for the given diagram,

[tex]A = \frac{/DB/ \times /AC/}{2}[/tex]

From the given information,

A = 264 square units

/DB/ = 12 units

∴ [tex]264 = \frac{12\times /AC/}{2}[/tex]

[tex]264 = 6\times /AC/[/tex]

[tex]/AC/ = \frac{264}{6}[/tex]

/AC/ = 44 units

Hence, the length of /AC/ is 44 units

Learn more on Calculating the area of a Rhombus here: https://brainly.com/question/12735921

#SPJ1

Ver imagen Abdulazeez10
ACCESS MORE