bonanova Posted March 21, 2009 Report Share Posted March 21, 2009 An ant stands 7, 5 and 1 meters, respectively, from consecutive corners of a square field. How big is his field? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 21, 2009 Report Share Posted March 21, 2009 An ant stands 7, 5 and 1 meters, respectively, from consecutive corners of a square field. How big is his field? 36square meters? Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted March 21, 2009 Author Report Share Posted March 21, 2009 36square meters? Not quite, close. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 21, 2009 Report Share Posted March 21, 2009 (edited) 32 square meters Edited March 21, 2009 by stonewall Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 21, 2009 Report Share Posted March 21, 2009 (edited) is it a cube shape? if it has three different measurements of corners then the measurement would be length times width times height.... that would make it 7x5x1= 35 m cubedAn ant stands 7, 5 and 1 meters, respectively, from consecutive corners of a square field. Edited March 21, 2009 by superman123 Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted March 21, 2009 Author Report Share Posted March 21, 2009 32 square meters Bingo. Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted March 21, 2009 Author Report Share Posted March 21, 2009 is it a cube shape? if it has three different measurements of corners then the measurement would be length times width times height.... that would make it 7x5x1= 35 m cubedNope. The field is flat. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 21, 2009 Report Share Posted March 21, 2009 (edited) Am i not understanding something in the word 'Consecutive' see the attached image ant.bmp if it is a square then all the sides must be the same if this is the case then stonewalls field is 5.6568542494923801952067548968388 meters by 5.6568542494923801952067548968388 meters somehow this doesnt seem likely do you mean rectangular? Edited March 21, 2009 by Mad Twit Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted March 21, 2009 Author Report Share Posted March 21, 2009 Am i not understanding something in the word 'Consecutive' see the attached image ant.bmp if it is a square then all the sides must be the same if this is the case then stonewalls field is 5.6568542494923801952067548968388 meters by 5.6568542494923801952067548968388 meters somehow this doesnt seem likely do you mean rectangular? Consecutive = say Northwest, Northeast, Southeast. That's the right value for the side of the field. Square it. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 21, 2009 Report Share Posted March 21, 2009 stonewalls answer still doesnt make sense to me if the area of the field is 32 then simply square rooting it gives the lengths of each side which are 5.6568542494923801952067548968388 meters by 5.6568542494923801952067548968388 meters please explain Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted March 21, 2009 Author Report Share Posted March 21, 2009 stonewalls answer still doesnt make sense to me if the area of the field is 32 then simply square rooting it gives the lengths of each side which are 5.6568542494923801952067548968388 meters by 5.6568542494923801952067548968388 meters please explain Stonewall's answer for the area is correct. Your answer for the length of the side of the square field is also correct. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 21, 2009 Report Share Posted March 21, 2009 I think the answer of 32 does make sense... Assume the 1 and 7 are collinear. Then the diagonal is 8, each side is 4x(sqrt2), and the area is 32... But how do you know they are collinear? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted March 21, 2009 Report Share Posted March 21, 2009 I think the answer of 32 does make sense... Assume the 1 and 7 are collinear. Then the diagonal is 8, each side is 4x(sqrt2), and the area is 32... But how do you know they are collinear? Wait, I just saw the diagram...now it doesn't make sense anymore Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted March 23, 2009 Author Report Share Posted March 23, 2009 I think the answer of 32 does make sense... Assume the 1 and 7 are collinear. Then the diagonal is 8, each side is 4x(sqrt2), and the area is 32... But how do you know they are collinear? Check out whether that point could be on a diagonal and be consistent with a distance of 5 from another corner. Quote Link to comment Share on other sites More sharing options...
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bonanova
An ant stands 7, 5 and 1 meters, respectively, from consecutive corners of a square field.
How big is his field?
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