The diagnal of square is 20 m. find its area(take√2=1.414
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A square lot has an area of 1,200 square meters. To the nearest meter, how far is it from one corner to the opposite corner?
Possible Answers:
49 meters
25 meters
98 meters
300 meters
196 meters
Correct answer:
49 meters
Explanation:
A square is also a rhombus, so its area can be calculated as one half the product of its diagonals:
A=12d2,
where d is the common diagonal length.
Since A=1200, 1200=12d2.
2400=d2
d=2400−−−−√≈49
The distance between opposite corners is about 49 meters.
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