Question

Formula valid for all polygons: P =______________

formula valid for the rectangle: P=_____________

Measure: P=(15+_) x _ = _cm

Answer 1

perimeter = sum of all sides. this is same for polygons

rect: area l×b. peri = 2(l+b)

Explanation:

15+5 = 20

20*2 = 40 cm is the perimeter of the given figure

Answer 2

P = 40 cm

Step-by-step explanation:

Here,

• We can see that the given polygon is a rectangle.
• The length and breadth of rectangle is 15 cm and 5 cm.

As we know that the formula of perimeter of rectangle is :

`\longrightarrow{\pmb{\tt{P = 2(L + B)}}}`

• P = Perimeter
• L = Length
• B = Breadth

Substituting all the given values in the formula to find the perimeter of rectangle :

`\begin{gathered} \qquad{\longrightarrow{\sf{P = 2(L + B)}}}\\\\\qquad{\longrightarrow{\sf{P = 2(15 + 5)}}}\\\\\qquad{\longrightarrow{\sf{P = 2(20)}}}\\\\\qquad{\longrightarrow{\sf{P = 2 * 20}}}\\\\\qquad{\longrightarrow{\sf{P = 40}}}\\ \\ \qquad{\star{\underline{\boxed{\sf{ \red{P = 40 \: cm}}}}}}\end{gathered}`

Hence, the perimeter of rectangle is 40 cm.

`\rule{300}{2.5}`