In this shape, the value for x is equal to 8 in.
Quadrilaterals
There are different types of quadrilaterals, for example: square, rectangle, rhombus and trapezoid. Each type is defined accordingly to its length of sides and angles. For example, the rhombus has diagonals bisect each other at 90°.
Here you can use the area of the rhombus that is: [tex]A_{rhombus}=\frac{d1*d2}{2}[/tex], where:
d1 = length of diagonal 1
d2 = length of diagonal 2
Applying the previous formula, you will have:
[tex]A_{rhombus}=\frac{d1*d2}{2}\\ \\ 60=\frac{15x}{2}\\ \\ 120=15c\\ \\ x=\frac{120}{15}\\ \\ x=8[/tex]
Learn more about the area of rhombus here:
https://brainly.com/question/3641573
