Question

Find the area of this rhombus

Answer 1

Answer: SECOND OPTION.

Explanation:

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

`A=(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=((8in)(16in))/(2)`

`A=(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=(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=(16in*8in)/(2)=(128in^(2) )/(2)=64in^(2)`

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

Have a nice day!