Mathematics 2013 JAMB Past Questions - Question 27: A square tile has side 30cm .How many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?

Correct Answer

B

Explanation

Area of a square tile = 30 x 30 = 90cmsup2Area of rectanglar floor = (720 x 420)cmsup2Hence the number of titles = 720 x 420 = 336To find the number of square tiles needed to cover a rectangular floor, we need to calculate the area of the floor and divide it by the area of one tile.Given:Side length of the square tile = 30 cmLength of the rectangular floor = 7.2 m = 720 cmWidth of the rectangular floor = 4.2 m = 420 cmArea of one tile = (side length)^2 = (30 cm)^2 = 900 cm^2Area of the rectangular floor = length × width = 720 cm × 420 cm = 302,400 cm^2Now, we can calculate the number of tiles needed:Number of tiles = (Area of the rectangular floor) / (Area of one tile)Number of tiles = 302,400 cm^2 / 900 cm^2Number of tiles = 336Therefore, you will need 336 square tiles to cover the rectangular floor.