Question

A restaurant is making table cloths for their four round tables. Each table is a circle with a radius of 2 ft. Each table cloth needs to be 20% larger than the table surface.

How many whole table cloths can the restaurant get out of a piece of fabric with an area of 64 ft²?
Please help!!

Answer 1

4

Explanation:

Since it gives us the amount of area of material to use we know we want to find how many times we can divide it into tablecloths. So now we need to find how much each tablecloth is.

so first it tells us that each table has a radius of 2 ft, so we find the area using that. area of a circle is
`\pi r^2` so plugging in 2 ft we get 4π square feet or 12.56.

It also says that each tablecloth needs to be 20% bigger, so we find what 20% larger than 4π is. to do this you do 4pi*1.2 = 4.8π = 15.072 square feet.

Now, how many tablecloths with areas of 15.072 square feet can be made from 64 square feet. Hopefully it's obvious you divide. so 64/15.072 = 4.25

Since we want whole tablecloths and that .25 is a remainder, 4 whole tablecloths can be made.