Question

Find the area of this rhombus

Answer 1

Answer: SECOND OPTION.

Step-by-step explanation:

You can calculate the area of the rhombus with this formula:

$A=\frac{d_1*d_2}{2}$

Where $d_1$ and $d_2$ are the lengths of the diagonals.

You can observe in the figure that the length of each diagonal is:

$d_1=4in+4in=8in\\d_2=8in+8in=16in$

Now you can substitute the lenghts of the diagonals into the formula. Therefore, the area of this rhombus is:

 $A=\frac{(8in)(16in)}{2}$

 $A=\frac{128}{2}$

 $A=64in^2$

Answer 2

Hello!

The answer is:

The area of the rhombus is equal to 64 squared inches.

$area=64in^{2}$

Why?

Since we already know half of the length of the diagonals of the rhombus, we can calculate the area of the rhombus using the following formula:

$area=\frac{diagonal_{1}*diagonal_{2}}{2}$

From the image we can see that:

$diagonal_{1}=8in+8in=16in$

$diagonal_{2}=4in+4in=8in$

So, substituting, we have:

$area=\frac{16in*8in}{2}=\frac{128in^{2} }{2}=64in^{2}$

Hence, we have that the area of the rhombus is equal to 64 square inches.

Have a nice day!