A CARPENTER HAS BUILT A RECTANGULAR TABLE AND WANTS TO TILE THE SURFACE. IF THE TABLE MEASURES 360 CM BY 1960 CM WHAT IS THE LARGEST SQUARE TILE THAT HE CAN USE WITHOUT ANY CUTTING? HOW MANY SQUARES ALONG WITH THE LENGTH OF THE TABLE AND HOW MANY SQUARES ALONG WITH THE WIDTH OF THE TABLE CAN BE TILED
Answers
Answer:
area of table = l*b
=360*1960
=705600
.•. he would use 840 tiles of 840 CM
Given : Table measures 360 cm by 1960 cm, Square tiles to be sued without any cutting
To find : Largest Size of Square tile
Solution:
Table measures 360 cm by 1960 cm
To find Largest square tile that can be used without any cutting
we need to find HCF of 360 & 1960
360 = 40 * 9
1960 = 40 * 49
HCF = 40
Size of Tile =40 by 40 cm
Number of tiles required = 360 * 1960 /( 40 * 40)
= 9 * 49
= 441
Tiles along Lnegth 1960 cm = 1960/40 = 49
tiles along width 360 cm = 360/9 = 9
These are on one side of table
to get on both sides of table , multiply by 2
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