Suppose each cube in this right rectangular prism is a 1 2 -inch unit cube. What are the dimensions of the prism? What is the vo
2 answers:
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Answer: A(W) = 100W -
Step-by-step explanation:
The formula for calculating the perimeter is given as :
P = 2 ( L + W )
the perimeter is given as 200 , that is
200 = 2 ( L + W )
Dividing through by 2 , we have
100 = L + W
Make L the subject of the formula ;
L = 100 - W
The formula for the area is given as Length x width , substituting the values , we have :
A = LW , since , L = 100 - W , we have
A = (100- W) (W)
A = 100W -
Therefore :
A(W) = 100W -
Combining like terms on the left-hand side gives us Adding 10 to both sides gives
and dividing both sides by 5 gives our answer of