Question

Find the perimeter of a rectangle whose length is 9 cm and width is 16 cm.

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Answer 1

Given information

• ⇀Length of rectangle is 9cm
• ⇀Breadth of rectangle is 16cm

What we have ask to calculate

• ⇀We have ask to calculate Perimeters of Rectangle

Formula to "Perimeter of rectangle"

➡️ The perimeter of a rectangle is defined as the sum of all the sides of a rectangle.

The perimeter formulas are the total distance around its sides. In case of a rectangle, the opposite sides of a rectangle are equal and so, the perimeter will be twice the breadth of the rectangle plus twice the length of the rectangle.

❍Perimeter denoted by the alphabet “p”.

Let us derive the formula for its perimeter .

Suppose a rectangle has length and Breadth as L and B, respectively.

From the definition of the perimeter we know, the perimeter of a rectangle,

• ⏩ P = 2 ( L + B)

where

• ⇀ “L” is the length of the rectangle

• ⇀ “B” is the breadth of the rectangle

Let's calculate Perimeters of Rectangles by using its formula

$\\ \\ \\ \sf \: \longrightarrow Perimeter_{Rectangles} =2( length × breadth) \\\\\\ \sf \: \longrightarrow Perimeter_{Rectangles} = 2(9\: + \: 16) \\\\\\ \sf \: \longrightarrow Perimeter_{Rectangles} = 2(25) \\\\\\ {\large{ { \red{\sf \: \longrightarrow Perimeter_{Rectangles} = 50cm }}}}$

Therefore the perimeter of rectangle is 50cm

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered} {\begin{gathered} \sf{9\:cm} \: \: \: \huge\boxed{ \begin{array}{cc} \: \: \: \: \: \\ \qquad \: \: \: \: \: \: \: \: \: \end{array}} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf{16 \: cm} \end{gathered}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered} \:$

Answer 2

Given: Length(l)= 9cm and width(w)= 16cm

To find The perimeter of a rectangle

Solution: In mathematics, we can find the area, perimeter, the volume of different shapes like square, rectangle, and circle by their respective formulas. For a circle, the perimeter is referred to as the circumference.

Here we are told to find the perimeter of a rectangle that means for a rectangle we have two sides as length(l) and the other two sides as width(w) which makes a total of four sides. So the perimeter of a rectangle can be represented as P=l+l+w+w=2l+2w=2(l+w)

From above l= 9cm and w= 16cm

∴ The perimeter of a rectangle(P)

= 2(l+w)

= {2×(9+16)} cm  [substituing the values of length(l) and width(w)]

= {2×25} cm

= 50 cm

Hence the perimeter of the rectangle is 50 cm.