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The width of a certain rectangle is 2 less than its length. If its perimeter is 96, what is its length?
I know the length is 25, but I need to know the process of how to get it.
I know the length is 25, but I need to know the process of how to get it.
Answers
Answered by
Bosnian
The width of 2 less than its length means W = L - 2
P = 2 ( W + L ) = 96
Replace W = L - 2 in tis equation
2 ( L - 2 + L ) = 96
2 ( 2 L - 2 ) = 96
2 ∙ 2 ( L - 1 ) = 96
4 ( L - 1 ) = 96
Divide both sides by 4
L - 1 = 24
Add 1 to both sides
L = 25
P = 2 ( W + L ) = 96
Replace W = L - 2 in tis equation
2 ( L - 2 + L ) = 96
2 ( 2 L - 2 ) = 96
2 ∙ 2 ( L - 1 ) = 96
4 ( L - 1 ) = 96
Divide both sides by 4
L - 1 = 24
Add 1 to both sides
L = 25