Question

the length and breadth of a rectangle are 32m and 20m. how many square tiles of maximum size are wanted to pave its floor.



please ans.​

Answer 1

Given,

The length = 32m

The breadth = 20m

To find,

Number of square tiles of maximum size needed to pave the floor.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Here, to calculate the length of one side of the largest possible square tile, we need to calculate the HCF of the values of the length and breadth of the given rectangular floor.

HCF :

32 = 2×2×2×2×2

20 = 2×2×5

So, Highest common factor = 2×2 = 4

Length of one side of square tile = 4m

Area of the square tile = (4)² = 16 m²

Area of floor = (32×20) = 640 m²

Number of tiles = (640/16) = 40

Hence, we need 40 tiles of side length 4m.