Respuesta :

Answer:

[tex]320in^2\\[/tex]

Step-by-step explanation:

Answer:

320 in^2

Step-by-step explanation:

Since NM * MP = Area MNOP, then 20in * MP = 500 in.

MP= 25

The ratio of NM to MP would be 20:25, or 4:5 simplified.

Likewise, since the two rectangles are similar, the ratio of the sides should also be 4:5.

16: 20 would be the correct ratio.

We can multiply 16*20 to get the area of IJKL, which would be 320

Therefore, the area of IJKL is 320 in^2

I hope this helps! :)