Find the area of the polygon. All corners are 90 degrees

Follows are the python code to this question:

import math as m #import package  

n=int(input('Enter the number of sides:'))#defining n variable for input number of side

s= float(input('Enter the side: '))#defining s variable for input side value

area = (s*s *n)/(4 * (m.tan(m.pi/n)))#defining formula for calcaulting area

print (area)#print area

Output:

please find the attached file.

Step-by-step explanation:

In the above code, firstly, we import the math package as m, and after that, two-variable "n and s" is defined, which uses for input integer and float value from the user end.

Follows are the python code to this question:

import math as m #import package  

n=int(input('Enter the number of sides:'))#defining n variable for input number of side

s= float(input('Enter the side: '))#defining s variable for input side value

area = (s*s *n)/(4 * (m.tan(m.pi/n)))#defining formula for calcaulting area

print (area)#print area

Output:

please find the attached file.

Step-by-step explanation:

In the above code, firstly, we import the math package as m, and after that, two-variable "n and s" is defined, which uses for input integer and float value from the user end.

Answer: 59 in^2.

Explanation:
We know that, the area of the polygon is equal to the area of rectangle plus the area of two triangles.
Find the area of rectangle:
A=LW,
we have:
L=7in;
W=4in;
A1=7*4=28 in^2.
Find the area of triangle with height of 6 in:
A=1/2bh,
we have:
b=7in;
h=6in;
A2=1/2*7*6=21 in^2.
Find the area of triangle with height of 5 in:
A=1/2bh,
we have:
b=4in;
h=5in;
A3=1/2*4*5=10 in^2.
The total area of the polygon is:
A=A1+A2+A3=28+21+10=59 in^2.

c is the correct answer<3

Step-by-step explanation:

59 in2

Step-by-step explanation:

Area of the rectangle is A=LxW

A= 7 x 4

A-28 in2

Area of the triangle is A= 1/2 bh

Area of the top triangle is A= 1/2 (6)(7)

A= 21 in2

Area of the side triangle is A= 1/2 (5)(4)

A= 10in2

Add up all of the areas to find the total area of the figure

28+21+10= 59 in2

B 59 in.^2

Step-by-step explanation:

The polygon is made up of three different polygons. Calculate each area, and add them.

1) rectangle 4 in. by 7 in.

2) triangle with 7 in. base and 6 in. height

3) triangle with 4 in. base and 5 in. height

area of rectangle = length * width

area of triangle = base * height / 2

total area =

= 4 in. * 7 in. + 7 in. * 6 in./2 + 4 in. * 5 in./2

= 28 in.^2 + 21 in.^2 + 10 in.^2

= 59 in.^2

Step-by-step explanation:

The area of a rectangle is length times width.

We divide the polygon into 4 rectangles:

The area of the first rectangle is :

The area of the second rectangle is

The area of the 3rd rectangle is

The area of the fourth rectangle is

Putting all together, the area of the polygon is;

0.16+1.44+1.6+0.4=3.6m²