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Question

The area of a square field is 0.5 hectare. The length of its diagonal is

(a) 150 m  (b) 1002 m  (b) 100 m  (b) 502


Solution

Area=  s i d e squared equals a squared equals 0.5 space h e c t a r e equals 0.5 cross times 10000 equals 5000 space m squared


s i d e space comma space a equals square root of 5000 equals square root of 2500 cross times 2 end root equals 50 square root of 2
length of diagonal by Pythagoras theorem = square root of 2 a
=50 square root of 2 cross times square root of 2 equals 50 cross times 2 equals 100 m


Mathematics
Secondary School Mathematics X
Standard X

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