Respuesta :

we know that

To find the area of a rhombus, multiply the lengths of the two diagonals and divide by [tex] 2 [/tex]

so

[tex] A=(15*x) /2\\ 60=(15*x) /2\\ 120=15*x\\ x=120 /15\\ x=8 units [/tex]

therefore


the answer is

[tex] x=8 units [/tex]

The other side of the rhombus is x which is equal to 8 units.

Given

The area of the shaded section is 60 square units.

What is the rhombus?

A rhombus is a special type of parallelogram in which opposite sides are parallel, and the opposite angles are b.

The area of the rhombus is given by;

[tex]\rm Area \ of \ rhombus = \dfrac{d_1 \times d_2}{2}[/tex]

Where [tex]\rm d_1[/tex] and [tex]\rm d_2[/tex] represents the diagonal of the rhombus.

The value of diagonal [tex]\rm d_1[/tex] is 15 and diagonal [tex]\rm d_2[/tex] is x.

Substitute all the values in the formula;

[tex]\rm Area \ of \ rhombus = \dfrac{d_1 \times d_2}{2}\\\\\rm 60 = \dfrac{15 \times x}{2}\\\\60 \times 2=15 \times x}\\\\120 = 15x\\\\x = \dfrac{120}{15}\\\\x=8[/tex]

Hence, the value of x is 8 units.

To know more about Rhombus click the link given below.

https://brainly.com/question/26309345