Question

a square wall is covered with square tiles.There are 85 tiles altogether along the two diagonals. How many tiles are there on the whole wall?​

Answer 1

Answer

My attempt below gave the WRONG ANSWER. Please advise:

Along one diagonal there must be 85÷2 tiles = 42.5 tiles

Let the length of the square wall be W

So using Pythagoras W2 + W2 = 42.52

(Square root of 2)*W = 42.5

W = 30.14

So number of tiles on whole wall = 30.14*30.14 = 908

Answer 2

There are 1849 tiles on the whole wall.

Step-by-step explanation:

Given : A square wall is covered with square tiles. There are 85 tiles altogether along the two diagonals.

To find : How many tiles are there on the whole wall?​

Solution :

There are 85 tiles altogether along the two diagonals.

Not counting the middle tile which both have,

We get 84 tiles.

As we have 2 diagonals divide it by 2,

$\frac{84}{2}=42$

Now, we get 42 + 1 (middle tile) for one diagonal.

i.e. one side has 43 tiles.

The total number of tiles is 

$43^2=1849$

Therefore, there are 1849 tiles on the whole wall.

#Learn more

A wall 8.75 ×5.75 m is to be covered with square tiles of largest possible size. What is the numbrer of tiles to do So?

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