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3 years ago

In the image shape ABCD is similar to shape MNOP

Mathematics

2 answers:

DiKsa [7]3 years ago

4 0

Answer:

10.5

Step-by-step explanation:

cross multiplying:

?/12 = 14/16

16? = 168

? = 10.5

finlep [7]3 years ago

3 0

Answer: 10.5 inches.

Step-by-step 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. $\dfrac{MP}{AD}=\dfrac{OP}{CD}$ [By using (1) and (2)]

Substitute the values.

i.e. $\dfrac{MP}{14}=\dfrac{12}{16}$

i.e. $MP=\dfrac{12}{16}\times14=10.5\ in.$

Hence, the length of MP= 10.5 in.

Thus the correct answer is 10.5 inches.

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