Respuesta :

mixter17

Hello!

The answer is:

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

[tex]area=64in^{2}[/tex]

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:

[tex]area=\frac{diagonal_{1}*diagonal_{2}}{2}[/tex]

From the image we can see that:

[tex]diagonal_{1}=8in+8in=16in[/tex]

[tex]diagonal_{2}=4in+4in=8in[/tex]

So, substituting, we have:

[tex]area=\frac{16in*8in}{2}=\frac{128in^{2} }{2}=64in^{2}[/tex]

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

Have a nice day!

luisejr77

Answer: SECOND OPTION.

Step-by-step explanation:

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

[tex]A=\frac{d_1*d_2}{2}[/tex]

Where [tex]d_1[/tex] and [tex]d_2[/tex] are the lengths of the diagonals.

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

[tex]d_1=4in+4in=8in\\d_2=8in+8in=16in[/tex]

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

 [tex]A=\frac{(8in)(16in)}{2}[/tex]

 [tex]A=\frac{128}{2}[/tex]

 [tex]A=64in^2[/tex]

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