Question

what will be the size largest square tile that can be used for the floorings without cutting any tile for rectangular hall of size 24m×15m?​

Answer 1

$\huge{\mathcal{\blue{\underline{\underline{\pink{HeYa!!!}}}}}}$

${\large{\purple{\mathbb{ANSWER}}}}$

☆ Given:-

• Dimensions of rectangle:- 24m×15m.

☆ To Find:-

• Largest square tile that can be used for flooring without any cut.

☆ Now,

Area of hall

= 24m × 15m.

${\large{\blue{\boxed{=\:360m\:\:Square}}}}$

▪︎ Let the side of largest square tile be a.

☆ So,

=》 a² = 360m²

=》 a = root 360m²

${\large{\blue{\boxed{=》\:a\:=\:18.97m.}}}}$

{Approx}

▪︎ Therefore the side of largest square tile that can be used for flooring must be equal to 18 meter.

Hope this will help you if it HELPS then plz mark my answer as BRAINLIEST.

And remember to always keep a smile on face:)

$<marquee>✌✌THANKS✌✌</marquee>$

Answer 2

Answer:

A square tile of edge 3 metre.

Step-by-step explanation:

HCF OF LENGTH AND BREADTH IS (24 M & 15 M) = 3 M.  SO, 8 SQUARE TILE OF SIZE 3M CAN BE ARRANGED LENGTH WISE AND 5  SQUARE TILE OF SIZE 3M CAN BE ARRANGED BREADTH WISE = 40 TILES CAN BE FITTED IN 24M BY 15M HALL