SMART PEOPLE! please help me with math!?

Question

im not doing so good at math so i need practice but i learn by looking off examples so if you please help!best answer=10 points! i got these off a practice website! thanks a bunch really appreciate it!

PROBLEM : you are going to frefinish your bathroom walls with ceramic tiles. you find a seller on Ebay who has this ad: FOR SALE ceramic tiles of any color $21.50 per box. each box has 24 square tiles. each box will cover 3 sqauare feet ofwall space (ex: 1 foot wide and 3 ft long) Find the size of each square tile to the nearest hundreth of an inch. ( original ad does NOT state size..only that each tile is square.!)

Question 2: If you have four walls which are seven and one half feet from ceiling to floor and have a perimeter of twenty six feet, how much money will you spend on tile?(round the answer to the nearest cent) i

Answer 1

You are in trouble already. 3 square feet would be 3 feet long by 3 feet high. Try that.

( I don't want to give you the answer.... that wouldn't be fair!)

Answer 2

1. A square foot has 12*12 = 144 square inches.
24 tiles cover 144*3 square inches = 432 sq inches
So each tile covers 432/24 = 18 square inches.
Since the tile is square, each side is square root of 18 inches
sqrt(18) = 4.24 (to the nearest hundreth)

2. You have to tile 7.5 feet times 26 feet = 195 sq feet
A box of tile costs $21.50 and covers 3 sq feet.
So, you need 195/3 boxes = 65 boxes
Which cost 65*21.5 = $1397.50

This assumes you can split the tiles perfectly every time. In the real world, that doesn't happen. If this were real, I'd buy a couple of extra boxes after I figured the minimum number of tile needed.

Also, in the real world, rooms have entrances (whether it's a hole in the wall or a door doesn't matter) and people don't tile those.

Answer 3

Problem 1:
3 square feet is the total area and it takes 24 tiles to fill in this area. (In order to visualize this draw yourself an area that equals 3 square feet and then think about 24 tiles covering the area.) This means you need to divide 3/24 to get the area of one of the tiles.

Then there are 12 inches in a foot. So to get down to inches you have to multiply by 12.

3/24*12=1.5
So each tile is 1.5 inches squared

Problem 2:
Basically, there are a couple of steps to this problem.

First you have to figure out the total area you need to cover.
The easiest thing is to imagine the room has 4 walls. The total length of the baseboards along the bottom is 26 and the height is 7.5. Now, you don't know the base of each individual wall, but if you think of them as 4 square/rectangles lined up in a row with the same height of 7.5, you can easily get your area.

7.5*26=195

So you need enough tiles to cover 195 square feet.
Each box can cover 3 square feet.
195/3=65

Each box costs $21.50, so
65*21.50=1397.50
Means you would need to spend $1,397.50 to cover the walls.