The perimeter of this figure, to the nearest unit, is 37.9 units and the area of this figure, to the nearest square unit is 153.54 square units.
What is a square?
It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.
We have a figure shown in the picture made with squares and circles.
To find the perimeter of the figure.
First, calculate the circumference of the circle portion.
The circumference of the 1/4 circle = (1/4)2πr
The radius of the circle r = 5 units
The circumference of the 1/4 circle = (1/4)2π(5)
The circumference of the 1/4 circle = 7.85 units
The perimeter of the figure = 10 + 5 +7.85 + 5 + 10
The perimeter of the figure = 37.85 units ≈ 37.9 units
The area of the figure = area of the square - an area of the square(5×5) +
area of the 1/4 circle
The area of the figure = 10×10 - 5×5 + π(5)²
The area of the figure = 100 - 25 + 78.53
The area of the figure = 153.54 square units
Thus, the perimeter of this figure, to the nearest unit is 37.9 units and the area of this figure, to the nearest square unit is 153.54 square units.
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