You may also like

problem icon

Matter of Scale

Prove Pythagoras' Theorem using enlargements and scale factors.

problem icon

Squirty

Using a ruler, pencil and compasses only, it is possible to construct a square inside any triangle so that all four vertices touch the sides of the triangle.

problem icon

Flower Show

How long will it take six gardeners to dig six circular flower beds?

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.