A quart floor has a side length of 7x^5y^6 units. A square tile has a side length of x^2y units. How many tiles will it take to take to cover the floor?

Respuesta :

About 49 tiles will be needed to cover the floor

A square is a shape having equal sides. The area of a square is expressed as:

A = L²

L is the side length of a square.

If a square tile has a side length of x²y units, the area of the square tile will be:

A = (x²y)²

As = x⁴y² units²

Similarly, if a quart floor has a side length of 7x⁵y⁶ units. The area of the quart floor will be expressed as:

Aq = (7x⁵y⁶)²

Aq = 49x¹⁰y¹²

Divide both areas to get the number of tiles that will cover the floor

Number of tiles = 49x¹⁰y¹²/x⁴y²

Number of tiles = 49x⁶y¹⁰

This shows that about 49 tiles will be needed to cover the floor.

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