Question

In the image shape ABCD is similar to shape MNOP

Answer 1

10.5

Explanation:

cross multiplying:

?/12 = 14/16

16? = 168

? = 10.5

Answer 2

Answer: 10.5 inches.

Explanation:

• We know that if two polygons are similar to each other than the corresponding sides are proportional.

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.
`(MP)/(AD)=(OP)/(CD)` [By using (1) and (2)]

Substitute the values.

i.e.
`(MP)/(14)=(12)/(16)`

i.e.
`MP=(12)/(16)*14=10.5\ in.`

Hence, the length of MP= 10.5 in.

Thus the correct answer is 10.5 inches.