the shaded figure is a rhombus. the area of the shaded section is 60 square units. what is the value of x? 4…

Explanation:

Step1: Recall area formula of rhombus

The area formula of a rhombus is $A=\frac{1}{2}d_1d_2$, where $d_1$ and $d_2$ are the lengths of the diagonals. In the given figure, one diagonal of the rhombus is $x$ and the other is 15.

Step2: Set - up the equation

We know that $A = 60$ square units. Substituting into the area formula $A=\frac{1}{2}d_1d_2$, we get $60=\frac{1}{2}\times x\times15$.

Step3: Solve the equation for $x$

First, multiply both sides of the equation $60=\frac{1}{2}\times x\times15$ by 2 to get $120 = 15x$. Then divide both sides by 15: $x=\frac{120}{15}=8$.

Answer:

8 units