We are required to write an expression which represent the perimeter of a rectangle in centimeters.
The perimeter of the rectangle is (20h + 32k) centimeters
Perimeter of a rectangle = 2(length + width)
length of the rectangle = 7h + 8k
width of the rectangle = 3h + 8k
Perimeter of a rectangle = 2(length + width)
= 2{(7h + 8k) + (3h + 8k)
= 2(7h + 8k + 3h + 8k)
= 2(10h + 16k)
= 20h + 32k centimeters
Perimeter of a rectangle = 20h + 32k
Therefore,
Perimeter of a rectangle = (20h + 32k) centimeters
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