A rectangular tile having a perimeter of 224 cm has been used to pave a floor of length and breadth 25.6 m and 14.4 m, respectively. If the ratio of length to breadth of each tile is 4:3, then find the number of tiles required to pave the floor completely.
Show answer & explanation
Correct answer: D
Explanation
Given:
Perimeter of tile = 224 cm
Length : Width = 4 : 3
Floor length = 25.6 m
Floor width = 14.4 m
Formula:
Perimeter = 2(l + b)
Area = length × width
Let
l = 4x, b = 3x
2(4x + 3x) = 224
14x = 224
x = 16
Length of tile = 4 × 16 = 64 cm
Width of tile = 3 × 16 = 48 cm
Area of tile = 64 × 48 = 3072 cm²
Now the area of the floor is
25.6 m = 2560 cm
14.4 m = 1440 cm
Area of floor = 2560 × 1440 = 3686400 cm²
Number of tiles = 3686400 / 3072 = 1200