Answer:
Step-by-step explanation:
Step 2 expansion of bracket
Step 4 grouping of like terms
Step 4 division property
 
        
             
        
        
        
Answer:
28.25 square units
Step-by-step explanation:
A circumference of the circle is

where r is the radius of the circle.
So,

The area of the circle is 

Substitute the value of the radius:
 
 
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
Let the width of the rectangle = x
As length is 5 inches longer than width, we have to add 5 to width
Length = x + 5
Perimeter of ractangle = 56 in
2* (length + width) = 56
2*( x + 5 + x) = 56
2* (2x + 5)    = 56
Use distributive property: a*(b +c) =(a*b) + (a * c)
2*2x + 2*5   = 56
4x  + 10 = 56
Subtract 10 from both sides
4x = 56- 10
4x = 46
Divide both sides by 4
x = 46/4
x = 11.5 
Width = 11.5 in
length = 11.5 + 5 
             = 16.5 in
 
        
             
        
        
        
Answer:
The perimeter of a square with an area of 900 square feet is 120 ft.
Step-by-step explanation:
Calculation of the perimeter of the square:
Since the area is 900 square feet
We know that
The area of square = 
So, length of one side should be 30
Now the perimeter should be
= 4(30)
= 120 ft.
Hence, The perimeter of a square with an area of 900 square feet is 120 ft.