Question

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?

Answer 1

Answer:

Step-by-step explanation:

1. As the tiles need to fit in both sides of the wall of size 8.75 ×5.75, the tile size has to be a "common factor" of 8.75 and 5.75.

2. As the requirement is to find out largest possible size of the tile, we need to just find out the HCF of of 8.75 ×5.75.

Let us first convert the size of the wall in to centi metres.

Size of the wall = 8.75 m × 5.75 m = 875 cm x 575 cm

HCF of 875 and 575 = 25

So, largest possible size of the TILE is 25 cm x 25cm.

So, number of tiles required to cover the wall = (875 x 575) / (25 x 25) = 805.