Question

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?

Answer 1

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

$=(\frac{1}{4})^2$

$=\frac{1}{16}$

Let x be the cost of embroidered tablecloth,

The ratio of the cost of embroidered place-mat and the cost of embroidered tablecloth = $\frac{2.95}{x}$

We can write,

$\frac{1}{16}=\frac{2.95}{x}$

$\implies x = 2.95\times 16=47.2$

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

Answer 2

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