Area problem
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Area problem
Hello!
Does anybody have any ideas about this area problem? It is supposed to be for 10 year olds. Thank you!
Two identical size squares with sides of length 10 centimeters overlap to form a red shaded region as shown. A corner of one square lies at the intersection of the diagonals of the other square. Find the area of the shaded region, in sq cm. (question 1E if you want to see the picture)
http://www.namschool.org/newwebsite/PDF ... 013-M1.pdf
Does anybody have any ideas about this area problem? It is supposed to be for 10 year olds. Thank you!
Two identical size squares with sides of length 10 centimeters overlap to form a red shaded region as shown. A corner of one square lies at the intersection of the diagonals of the other square. Find the area of the shaded region, in sq cm. (question 1E if you want to see the picture)
http://www.namschool.org/newwebsite/PDF ... 013-M1.pdf
Re: Area problem
Yes - think about dropping a line from the centre of the right hand square to its edge and another from the same place to the left side. Two little triangles are formed - one inside the shaded bit and one outside ... can you see how that helps?
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target2016
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Re: Area problem
25 sq cm... I think the red shaded area will remain same if we move the outer square... so imagine its straightened up a bit... the shape so formed will be a red square of 5cm side.
Re: Area problem
Yes, it is always a quarter of a square but I wonder if you need to write it as an equation. Thank you for the replies!
