A rectangular napkin costs $3.25. A similar tablecloth is five times longer and five times

Question

wider. How much would you expect to pay for the tablecloth?

Answer 1

First, let's find the dimensions of the tablecloth. If the napkin is a rectangle, we can assume its dimensions are x and y.

Since the tablecloth is five times longer and five times wider, its dimensions will be 5x and 5y.

Now, let's find the area of the napkin and the tablecloth.

Area of the napkin = x * y
Area of the tablecloth = 5x * 5y = 25xy

Let's now find the cost of the tablecloth using the ratio of the areas.

Cost of the tablecloth = Cost of napkin * (Area of tablecloth / Area of napkin)
Cost of the tablecloth = $3.25 * (25xy / xy)
Cost of the tablecloth = $3.25 * 25
Cost of the tablecloth = $81.25

Therefore, you would expect to pay $81.25 for the tablecloth.