a rectangle wall is to be covered with square tiles, the square tiles are 20cm by 20cm, the wall is 5m by 2.2 m, How many square tiles are needed

Question

this is in my math homework

Answer 1

Hi, I'd like to help you solve this problem! First, I would encourage you to draw a picture to help make sense of the word problem. So draw a rectangle to represent the wall, the sides should be longer than the bottom. Now you can add dimensions to your wall. The height is 5 meters and the length is 2.2 meters. In order to determine how many square tiles you need, you will need to convert the wall measurements into centimeters since the squares are 20cm x 20 cm. So, 1 meter is equal to 100 centimeters, then the 5 meter height of the wall is 5 x 100, or 500 cm. The bottom of the wall is 2.2 meters, so 2.2 x 100 brings you to the wall length of 220cm.

It may seem easy to just multiply the wall length x height to determine the wall area of 110,000 cm and divide that by the area of the tile(20 x20=400). However, depending if the tiles fit evenly or not you may need extra so the method I will show you will be the most accurate. Since the height of the wall is 500cm, you can divide 500 by the height of the tile to determine you will need stacks of 25 tiles. 500/20=25. Next you can divide the length of the wall by the length of the tile, 220/20=11. Now you know you need 25 rows of tiles, 11 tiles in each row, so you can multiply the 25 x 11 to determine you need 275 square tiles. Remember, since this is a word problem, your answer must include numbers and words! You need to have the unit, square tiles in your answer.

I hope this helps you with your homework!

Answer 2

First, notice that the units of measurement for the wall and the tiles are different. Therefore, you will need to convert centimeters to meters or else convert meters to centimeters

Let's convert meters to centimeters (there are 100 centimeters in 1 meter).

The wall is 500 cm by 220 cm

The tiles are 20 cm by 20 cm

The wall is exactly 25 tiles by 11 tiles. [That is, 500/20 and 220/20.]

There will be 25 * 11 = 275 tiles on the wall.