Topic Content:
- Area of Similar Shapes
Consider two similar rectangles ABCD and PQRS
PQ = 3 × AB
SR = 3 × DC
Scale factor = ratio of lengths on rectangle PQRS to the corresponding lengths on rectangle ABCD
i.e. scale factor = \( \frac{9\:cm}{3\:cm} \: or \: \frac{6\:cm}{2\:cm} \)
= 3 on both sides
For any two similar shapes
Area factor = (Scale factor)2
The small rectangle fits into the big rectangle 9 times
Example 6.2.1:
Two similar rectangles have corresponding sides in the ratio 10:3. Find the ratio of their area.
Solution
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