The perimeter of the figure, rounded to the nearest tenth is: 17.2 units.
What is the Perimeter of a Figure?
Perimeter of a figure is the total length of all sides of the figure.
The distance formula, [tex]d = \sqrt{(x_2 - x_2)^2 + (y_2 - y_1)^2}[/tex], can be used to find the length of each segment of a figure on a coordinate plane.
Thus, we have:
A(0, 4)
B(4, 4)
C(1, 0)
D(4, 1)
Perimeter of the figure = AB + BC + CD + DA
AB = |4 - 0| = 4 units
BC = √[(1−4)² + (0−4)²]
BC = √25
BC = 5 units
CD = √[(1−4)² + (0−1)²]
CD = √10
CD = 3.2 units
DA = √[(0−4)²+ (4−1)²]
DA = √25
DA = 5 units
Therefore:
Perimeter of the figure = 4 + 5 + 3.2 + 5 = 17.2 units.
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