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784 square tiles, each of side 50 cm are required to tile a floor of a square room. Find the length of the sides of the room.
Question

784 square tiles, each of side 50 cm are required to tile a floor of a square room. Find the length of the sides of the room.

A.

13 m

B.

12 m

C.

15 m

D.

14 m

Correct option is D

Given:

Number of tiles = 784

Side of each tile = 50 cm = 0.5 m
Formula Used:

Area of the room = Number of tiles × Area of each tile

Solution:

=> Area of the room = 784 × 0.5 × 0.5

=> Area of the room = 196 m²

=> Side of the room = √196

=> Side of the room = 14 m

Therefore, the length of the sides of the room is 14 m.

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