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: A
Explanation
Given:
Perimeter of tile = 224 cm
Length : Width = 4 : 3
Floor length = 25.6 m
Floor width = 14.4 m
By formula:
Perimeter = 2(l + b)
Area = Length × Width
Let
Length of tile = 4 x
Width of tile = 3 x
Perimeter = 2(4 x + 3 x) = 224
14 x = 224
x = 16
Length of tile = 4 × 16 = 64 cm
Width of tile = 3 × 16 = 48 cm
Area of tile = 64 × 48 = 3072 cm²
Floor area = 25.6 × 14.4 = 368.64 m²
In cm² = 368.64 × 10000 = 3686400 cm²
Number of tiles = 3686400 / 3072 = 1200
Number of tiles required = 1200