The diagram
below shows some small squares each with area 3 enclosed inside a larger
square. Squares that touch each other do so with the corner of one square
coinciding with the midpoint of a side of the other square. Find integer n such that the area of the shaded
region inside the larger square but outside the smaller squares is √n
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n=288??
ReplyDeleteCan anyone explain this problem?
ReplyDeleteEach small square is of area 3 hence, the side of squares is root3
ReplyDeletehence the side of big sqaure is root3 +2root6
hence the required shaded area
area of big square - area of 9 small squares
(root3 +2root6)^2 -27=rootn
=>3+24+4root18-27=rootn
=>root(16x18)=rootn
=>n=288
Hope that helps
thank u so much
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ReplyDelete