An embroidered placemat cost $2.95. An embroidered tablecloth is similar to the placemat. The ratio of the corresonding sides is 1:4. How much would you expect to pay for the tablecloth?

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Verified Answer :

syed514 syed514 · Answer 1 · 2016-11-20T11:25:51-05:00

Given that ratio of sides is 1:4,
then ratio of areas is 1:16

In terms of area tablecloth is 16 X bigger
2.95*16 = 47.20

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parmesanchilliwack parmesanchilliwack · Answer 2 · 2019-04-09T03:17:56-04:00

Answer:

We would expect to pay $ 47.2 for the tablecloth.

Step-by-step explanation:

Given,

The ratio of the corresponding sides the embroidered place-mat and the embroidered tablecloth of the is 1:4,

Since, the embroidered tablecloth is similar to the place-mat.

By the property of similar figures,

The ratio of the area of embroidered place-mat and the area of embroidered tablecloth

= ( Ratio of their corresponding sides )²

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Let x be the cost of embroidered tablecloth,

The ratio of the cost of embroidered place-mat and the cost of embroidered tablecloth = @@MATH_TOKEN_2@@

We can write,

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Hence, We would expect to pay $ 47.2 for the tablecloth.