The perimeter of the book marker is 22cm
What is perimeter of a shape?
Perimeter is the outside boundary of a shape.
Analysis:
Length = x + 1
Width = x+1 - 5= x - 4
Area = 24 square centimeters = length x width
(x-4)(x+1) = 24
x2 -3x -4 = 24
x2 -3x -28 = 0
x2 -7x + 4x - 28 = 0
x(x-7) + 4(x - 7) = 0
(x+4)(x-7) = 0
since dimension cannot be negative x = 7
Length = 7 + 1 = 8 cm
Width = 7 - 4 = 3cm
Perimeter = 2(8 + 3 ) = 2 x 1 1 = 22cm
Learn more about perimeter: brainly.com/question/933380
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