Question

Complete the table given below,

DIAGRAM	SHAPE	AREA	PERIMETER
	Rectangle Square	$l\times b=lb$ ----- ------	---- 4a

( a ) \[2\text{ }\left( \text{ }l\text{ }+\text{ }b\text{ } \right),{{a}^{2}}\]
( b ) \[\left( \text{ }l\text{ }+\text{ }b\text{ } \right),{{a}^{2}}\]
( c ) \[2\text{ }\left( \text{ }l\text{ }+\text{ }b\text{ } \right),a\]
( d ) None of these

Answer 1

Hint: To solve this question what we will do is we will recall the shapes given in the question which are square and rectangle and also what are perimeter and area. Then we will find the area of the square and perimeter of the rectangle.

Complete step-by-step solution:
Before we solve this question, let us see what is rectangle and square, and what is the meaning of area and perimeter.
A square is a quadrilateral, whose all sides are of the same measure and adjacent sides make an angle of ${{90}^{{}^\circ }}$.
The rectangle is a quadrilateral, whose opposite sides are equal and sides make an angle of ${{90}^{{}^\circ }}$where quadrilateral means any shape or figure with four sides.
Now, the area is the space occupied by a flat surface of an object and the perimeter of any figure means the length of the outlines of a shape that is to find the perimeter of any polygon, we just add the length of all sides or boundaries.
Now, we have to find the perimeter of the rectangle. Let, length of the rectangle be l and the breadth of the rectangle be b, then perimeter will be = l + l + b + b as opposite sides are equal so,
Perimeter of Rectangle = 2 ( l + b )
To find the area, we just multiply measure of base and measure of height, as all sides of the square are the same,
So, area of square $=a\times a={{a}^{2}}$ .
Hence, option ( a ) is correct.

Note: As area and perimeter of some specific shapes are very important while attempting questions, so one must learn to know the area and perimeter of some specific shapes such as square, rectangle, circle, triangle, etc. Always consider all the sides of any polygon, while finding perimeter.