Question

Statement 1: Area of a rectangle with length ‘l’ and breadth ‘b’ is equal to $‘l\times b^{\prime }$.

Statement 2: All squares are rectangles with $l=b$

Pick the correct option from the following

• A. Statement 1 is true but Statement 2 is false
• B. Statement 1 is false but Statement 2 is true
• C. Both the statements are true but not sufficient to figure out area of a square
• D. Both the statements are true and sufficient to figure out area of a square

Answer 1

The correct option is D

Both the statements are true and sufficient to figure out area of a square

Using the two statements,

Area of rectangle =$l\times b$

When rectangle = square, $l=b$

So, area of square = $l\times l$ or $b\times b=$ $l^2$ or $b^2$

Generally, $l=b=a$ is assumed and area of square is given by $a^2$