Question

The formula for the perimeter of the rectangle is
A) \[l + b\]
B) \[2(l + b)\]
C) \[2(l \times b)\]
D) \[l \times b\]

Answer 1

Hint: Rectangle is a four sided polygon,having opposite side equal in measure and parallel to each other, whose sides intersect perpendicularly, and in a rectangle the diagonals are in equal length bisecting each other.

Complete answer:
Step 1: First, we need to understand all the given data and conditions mentioned in the question. This reduces our mistakes and calculation errors and improves our accuracy.
Then, we need to understand the given hint. Hint actually provides the easiest way to find the solution of the given problem.

Step 2: Let us assume a rectangle (see below fig.), with measures of length and breadth are \[l\] and \[b\] respectively.

Perimeter is known as the measure of total surrounding length of the given shape. According to the hint, the rectangle will have opposite sides equal in measure and not all the four sides are equal, where sides intersect perpendicularly.
To find the perimeter, we need to add the measures of each side, so that we can acquire the total surrounding length of the given figure i.e, by adding the lengths of all four sides \[l,l,b,b\]. Therefore,on further calculations we get that,
Sum of lengths of all sides of rectangle $=l + l + b + b $
$=2l + 2b$
$ = 2(l + b) $
Thus, we got that formula of the perimeter of a rectangle as $2(l+b)$.

Therefore, option (B) is the correct answer.

Note: Perimeter is the total measure of the given diagram, perimeter is different from area, as area is the total region enclosed within the perimeter which can be mathematically found as the product of length and the breadth.
Area= \[l \times b\]
Don’t confuse while considering the definition of perimeter and area as they both differ by simple symbols