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Congruence — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsCongruence1 Mark
Question
Following statement are true or false;
If two rectangles have equal area, they are congruent.
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Answer

False. Solution:Area of a rectangle = length x breadth
Two rectangles can have the same area. However, the lengths of their sides can vary and hence they are not congruent.
Example: Suppose rectangle 1 has sides 8m and 8m and area 64 meter square. Rectangle 2 has sides 16m and 4m and area 64 meter square. Then rectangle 1 and 2 are not congruent.

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