The absolute value of the equation will not work because the value of x would have to be negative for the perimeter to be 7 ft plus or minus 0.5 ft.
What is the perimeter of the rectangle?
The perimeter of the rectangle is given as:
Perimeter = 2(Length + Breadth)
The perimeter of a rectangle is 7 feet plus or minus 0.5 feet.
So, we have:
Perimeter = 2(Length + Breadth) = 7 feet ± 0.5 feet.
Then Substitute values for length and width
2(Length + Breadth) = 7 feet ± 0.5 feet.
2(4 + x) = 7 feet ± 0.5 feet.
Now,
2(4 + x) = 7 feet + 0.5 feet.
8 + 2x = 7.5 ft
2x = 7.5 - 8
x = -0.25 ft
2(4 + x) = 7 feet - 0.5 feet.
8 + 2x = 6.5 ft
2x = 6.5 - 8
x = -0.75ft
Here Both values of x are negative.
This means that the absolute value model can't work, because a rectangle cannot have a negative dimension.
learn more about of perimeters here
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