Area of Similar Figures

This item is taken from IGCSE Mathematics (0580) Paper 41 of May/June 2013.


To deal with this item, let us summarize the details of the problem:
   (a) Syllabus area: Mensuration
   (b) Specific topic: Area of Similar Figures
   (c) Formula Needed:

Let us first determine the given in the problem.

Using the relation of the areas and corresponding lengths of similar figures, 

Cross multiply:

Simplify then calculate the value of l by getting the square root:

Another way is to directly get the square root of both sides to eliminate the exponent/power.

Then manipulate the equation to get the value of l.

Therefore, the length (l) of the base of the first figure is 5.75 cm.

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