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Sergio [31]
2 years ago
13

The area of a parallelogram is 36 cm 2. The height of the parallelogram is 3 centimeters. How long is the base?

Mathematics
2 answers:
Lesechka [4]2 years ago
6 0
Parallelogram Area = Height * Base
Base = Parallelogram Area / Height
Base = 36 / 3
Base = 12 centimeters




Basile [38]2 years ago
5 0
The answer is:  " 12 cm " .
___________________________
Explanation:
__________________________________
Formula for the area of a parallelogram: 

Area = (base length) * (height) ;  OR:
__________________________________
 A  =  b * h ;   Solve for "b" (base length):
__________________________________
Let us isolate "b" on one side of the equation:
_____________________________________
We have: 
_____________________________________
 A  = b * h ;
_____________________________________
 Divide EACH SIDE of the equation by "h" ; to isolate "b" on one side of the equation ;
______________________________________
    A / h = (b * h) / h ;

to get:  A / h = b ; 

or:  ↔   b = A / h ;   Solve for "b" ;
______________________________________
We are given:  "A = 36 cm² " ;  "h = 3 cm" ; 

So, we plug these values into the equation ;
______________________________________
    b = (36 cm²) / (3 cm) = 12 cm .
______________________________________
     The answer is:  12 cm.     
__________________________________________
The base length of the parallelogram is:  " 12 cm " .
__________________________________________
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