a) 430 b) 440 c) 450 d) 460
Solution:
Area Calculation MCQ 7 ( A rectangular courtyard 3.78 m long and 5.25 m broad )
We convert dimensions into centimeters as
3.78 m =378 cm = 2 × 3 × 3 × 3 × 7
5.25 m =525 cm = 5 × 5 × 3 × 7
Here common factors are 3 and 7
So, least common multiple (LCM) is = 3 × 7 = 21
i-e 21cm is the biggest size tile’s one side, and since tiles are squares in shape same will be the other side of the biggest size tiles !
To find as how many tiles of 21 square meter will be required – we first calculate area of the courtyard and then divide it by area of one tile;
i-e
\[ Number Of Tiles = \frac{378\times 525}{21}=450 \]
So 450 tiles of 21 cm sides of a square shape will be required — option c is correct !
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