In the image shape abcd is similar to shape mnop

10.5 inches.

Step-by-step explanation:

Given : In the image shape ABCD is similar to shape MNOP .

Then , AB corresponds to MN .

BC corresponds to NO.

CD corresponds to OP.                (1)

AD corresponds to MP.                 (2)

In the given figure we have ,

AD = 14 in.   , CD= 16 in. and OP =12 in.

To find : MP

Since shape ABCD is similar to shape MNOP then the corresponding sides should be proportional.

i.e.  [By using (1) and (2)]

Substitute the values.

i.e.

i.e.

Hence, the length of MP= 10.5 in.

Thus the correct answer is 10.5 inches.

ok then what happened.