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The smaller of two similar rectangles has height $2$ units; the larger rectangle has length $6$ units.
If one rectangle has twice the area of the other, find the length of the smaller rectangle.
This problem is taken from Tony Gardiner's 'Extension Mathematics Gamma' book.
Similar Rectangles
Age 14 to 16
Challenge Level 
The smaller of two similar rectangles has height $2$ units; the larger rectangle has length $6$ units.
If one rectangle has twice the area of the other, find the length of the smaller rectangle.
This problem is taken from Tony Gardiner's 'Extension Mathematics Gamma' book.
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