Question

A figure has an area of $196c{m}^2$
S1 : The figure can be a square of side 14 cm.
S2 : The figure can be a rectangle if and only if the dimensions are $49cm\times 4cm$.

• A. S1 is true but S2 is false
• B. S1 is false but S2 is true
• C. S1 and S2 both are true
• D. S1 and S2 both are false

Answer 1

The correct option is A

S1 is true but S2 is false

The area of a square of side 14 cm is $196c{m}^2$ but does not mean an area of $196c{m}^2$ is possible only for a square. Therefore, S1 is true. The statememt S2 assumes that an area of $196c{m}^2$ is only possible for a rectangle of the given dimensions. But one of the other possible dimensions are $28cm\times 7cm$. Therefore, S2 is incorrect.