Question

The side of a square is $x$ unit.
Statement 1: Area of the square is $x^2{\text{unit}}^2$
Statement 2: Perimeter of the square is $2x\text{unit}$

• A. Statement 1 is true and statement 2 is true.
• B. Statement 1 is true and statement 2 is false.
• C. Statement 1 is false and statement 2 is false.
• D. Statement 1 is false and statement 2 is true.

Answer 1

The correct option is B Statement 1 is true and statement 2 is false.

Perimeter is the boundary or outline of a shape, whilst area is the space or region covered by a shape.

$\Rightarrow$ In a square we have 4 boundaries (sides = $x$). So, perimeter of a square is $4\times \text{side}=4x$ unit


$\Rightarrow$ Area of the square $=(\text{side}{)}^2=x^2{\text{unit}}^2$

Hence, Statement 1 is true and statement 2 is false.
Option (b) is correct.