Math, asked by khushiranjan2009, 5 months ago

A rectangular courtyard with length 10m 50cm and breadth 4m 20cm is to
be paved with square stones of the same size. The least number of such
stones required are​

Answers

Answered by iamsadafhasan
6

Answer:

The least number of square stones of 210 cm * 210 cm that are required to pave the rectangular courtyard are 10.

Step-by-step explanation:

Restate the dimensions in cms.

Courtyard measures 1040 cm x 1512 cms

If this courtyard is to be paved using square stones, the dimension of stone should completely divide 1040 & 1512

1040 = 2 x 2 x 2 x 2 x 5 x 13 = 2⁴ x 5 x 13

1512 = 2 x 2 x 2 x 3 x 3 x 3 x 7 = 2³ x 3³ x 7

HCF(1040,1512) = 2³ = 8

Area of courtyard = 1040 x 1512 cm²

Area of each stone = 8 x 8 = 64 cm²

No of stones requured = 1040 x 1512/64

= 24570

Answered by rinapanda401
2

Answer:

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Step-by-step explanation:

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