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Similar Rectangles

Stage: 4 Short Challenge Level: Challenge Level:2 Challenge Level:2
See all short problems arranged by curriculum topic in the short problems collection

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.

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from Tony Gardiner's 'Extension Mathematics Gamma' book.