Question

What is the maximum area of a square tiles to be used on a 23100 square meter rectangular ground?

Answer 1

231 tiles required to fllor the ground

Answer 2

Answer:

Maximum Area of a square tile is 100 m².

   

Step-by-step explanation:

Given:

Area of the Rectangular ground = 23100 m²

To find: Maximum area of the Square tile used on given ground.

We know that area of the square = side × side = side²

Means area of square is a perfect square number.

So to find maximum area of square tile for the given area of ground. we find  perfect square from the given area.

Using Prime factorization method,

23100 = 2 × 2 × 3 × 5 × 5 × 7 × 11

we have complete pair of 2 and 5 which gives perfect square number.

⇒ Area of the Square = 2 × 2 × 5 × 5 = 100 m²

Therefore, Maximum Area of a square tile is 100 m².