Asked by sara
The area of a rectangle is 10 cm^2. One side of the rectangle is x cm. Express the perimeter of the rectangle in terms of x.
Answers
Answered by
Bosnian
A = Area
P = Perimeter
One side is x.
Mark the other side with y.
A = x ∙ y
The area of a rectangle is 10 cm² so:
x ∙ y = 10
Divide both sides by x
y = 10 / x
P = 2 ( x + y )
P = 2 ( x + 10 / x )
P = 2 ( x ∙ x / x + 10 / x )
P = 2 ( x² / x + 10 / x )
P = 2 ( x² + 10 ) / x
P = Perimeter
One side is x.
Mark the other side with y.
A = x ∙ y
The area of a rectangle is 10 cm² so:
x ∙ y = 10
Divide both sides by x
y = 10 / x
P = 2 ( x + y )
P = 2 ( x + 10 / x )
P = 2 ( x ∙ x / x + 10 / x )
P = 2 ( x² / x + 10 / x )
P = 2 ( x² + 10 ) / x
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