3.  An area is paved with square tiles of a certain size and the number required is 128.  If the tiles had been 2 cm smaller each way, 200 tiles would have been needed to pave the same area.  Find the size of the larger tiles.

4.  A farmer has 70 m of fencing, with which he encloses three sides of a rectangular sheep pen; the fourth side being a wall.  If the area of the pen is 600 sq.m, find the length of its shorter side.

Dear Student,

An area is paved with square tiles of a certain size and the number required is 128. 

, 200 tiles would have been needed to pave the area. 

Find the size of the larger tiles.

Let the size of square of tile = x cm 

therefore, the area of one tile =

no. of tiles requires to pave a certain area = 128.

given : area = 128..........(i)

now, If the tiles had been 2 cm smaller each way, then 

size of square tile=  (x-2) cm

area of one tile = 

no. of tiles = 200

area paved by these tiles = 200 .......(ii)

from (i) and (ii), we get,

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