Question

the shaded figure is a rhombus. the area of the shaded section is 60 square units. what is the value of x? 4 units 6 units 8 units 9 units

Explanation:

Step1: Recall the area formula for a rhombus

The area formula for a rhombus is $A=\frac{1}{2}d_1d_2$, where $d_1$ and $d_2$ are the lengths of the diagonals. In this case, assume the diagonals of the rhombus are $x$ and $15$. So $A = \frac{1}{2}\times x\times15$.

Step2: Substitute the given area value

We know that $A = 60$. Substitute $A = 60$ into the formula $\frac{1}{2}\times x\times15=60$.

Step3: Solve for $x$

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

Answer:

C. 8 units