Two equivalent expressions to represent the perimeter of the boat dock are P = 2[(X + 8) +(X + 3)] or P = 4X + 22.
What is a perimeter?
"A perimeter is a measurement of the outside of a shape. In order to find a perimeter, we have to find the sum of all the sides of the shape."
Given
Length of the dock = (X + 8) feet
Width of the dock = (x + 3) feet
A rectangle have length and width.
So the perimeter of the rectangle is 2(length + width)
Formula to find the perimeter of shape
Perimeter of the shape = Sum of all the sides of the shape
P = (X + 8) +(X + 3) + (X + 8) +(X + 3)
⇒ P = 2[X + 8 +X + 3]
⇒ P = 2[2X + 11]
⇒ P = 4X + 22
Hence, two equivalent expressions to represent the perimeter of the boat dock are P = (X + 8) +(X + 3) + (X + 8) +(X + 3) or P = 4X + 22.
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