A rectangle napkin costs $3.25. A similar tablecloth is five times longer and five times wider. How much would you expect to pay for the table cloth?
$81.25
$48.74
$16.25
$32.50
$81.25
To find the expected cost of the tablecloth, you need to calculate the area of both the napkin and the tablecloth and then compare the difference in size.
First, let's calculate the area of the napkin. Since a rectangle's area is equal to its length multiplied by its width, we can assume the napkin has a length and width of 1 (since no measurements are given). Therefore, the area of the napkin is 1 * 1 = 1 square unit.
Next, let's calculate the area of the tablecloth. The problem states that the tablecloth is five times longer and five times wider than the napkin. So, if we assume the napkin's length and width are both 1, then the tablecloth's length would be 1 * 5 = 5 and its width would also be 1 * 5 = 5. Thus, the area of the tablecloth is 5 * 5 = 25 square units.
Now that we have the areas of both the napkin and the tablecloth, let's find the ratio between them. The ratio is obtained by dividing the area of the tablecloth by the area of the napkin: 25 / 1 = 25.
Finally, to find the expected cost of the tablecloth, we multiply the ratio by the cost of the napkin ($3.25): 25 * $3.25 = $81.25.
Therefore, you would expect to pay $81.25 for the tablecloth. Hence, the correct answer is $81.25.