Respuesta :

Answer:

A = 216 in²

Step-by-step explanation:

the area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ (d₁ and d₂ are the lengths of the diagonals )

the diagonals of a rhombus bisect each other , then

d₁ = 12 + 12 = 24

d₂ = 9 + 9 = 18

then

A = [tex]\frac{1}{2}[/tex] × 24 × 18 = 12 × 18 = 216 in²

kallmekrish

Answer:

216

Step-by-step explanation:

Area of a rhombus=[tex]b * h[/tex] or [tex]\frac{d_1*d_2}{2}[/tex]

↓

First, add 12 and 12 together to get the length of one of the diagonals.

[tex]12 + 12 = 24[/tex]

Then add 9 and 9 together to get the length of the other diagonal.

[tex]9 + 9= 18[/tex]

Now you can substitute the variables with the corresponding values:

[tex]d_1 = 24[/tex]

[tex]d_2 = 18[/tex]

↓

[tex]\frac{24*18}{2}[/tex]

Now, multiply 24 and 18 together:

[tex]24 * 18 = 432[/tex]

Now divide 432 by 2:

[tex]\frac{432}{2}=216[/tex]

The area of the rhombus is 216.

Hope this helps! Let me know if you have any questions. Have a great day!

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