A rectangular courtyard 3.78 m long and 5.25 m broad is to be paved exactly with square tiles, all of the same size. What is the largest size of such a tile? Also, find the number of tiles.
Mensuration
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Question

A rectangular courtyard 3.78 m long and 5.25 m broad is to be paved exactly with square tiles, all of the same size. What is the largest size of such a tile? Also, find the number of tiles.

KnowledgeBoat · Accepted Answer

Given, Length = 3.78 m = 378 cm Breadth = 5.25 m = 525 cm The side of the largest square tile that can pave the floor exactly must be the HCF of the length and breadth of the courtyard. HCF of 378 and 525 = 21 cm. Number of tiles = = 450. Hence, largest size of tile = 21 cm × 21 cm and total number of tiles = 450.

Mathematics

A rectangular courtyard 3.78 m long and 5.25 m broad is to be paved exactly with square tiles, all of the same size. What is the largest size of such a tile? Also, find the number of tiles.

Mensuration

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