Question
Following statement are true or false; If two rectangles have equal area, they are congruent.
✓
Answer
False.
Area of a rectangle = length $\times$ 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.
Area of a rectangle = length $\times$ 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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