Answer:
B. 2 in.
Step-by-step explanation:
First, put the two perimeters together to form a fraction.
192/48, which can simplify to 4/1
Now, following the order in which you put the perimeters (I used C/D,) set it equal to the sides.
[tex] \frac{4}{1} = \frac{8}{x} [/tex]
Now, cross multiply. (multiply 1 and 8, 4 and x.)
[tex]4x = 8[/tex]
Now, solve.
x=2 inches.
The length of the corresponding side in polygon D is 2 inches.
As it is given that the polygon is similar
That means that the ratio of the perimeter of the polygon will be equal to the ratio of the corresponding sides.
perimeter of polygon C/Perimeter of polygon D = side of C/side of D
⇒ 192/48=8/length of the corresponding side(let us consider x)
⇒ 192/48=8/x ⇒ x = 8*48/192 = 2 inches.
Hence, the length of the corresponding side in Polygon D is 2 inches.
Therefore, option B is the correct answer.
polygon, in geometry, any closed curve consisting of a set of line segments (sides) connected such that no two segments cross. The simplest polygons are triangles (three sides), quadrilaterals (four sides), and pentagons (five sides).
The important polygon formulas are: The sum of interior angles of a polygon with “n” sides =180°(n-2) Number of diagonals of a “n-sided” polygon
A polygon is a flat, two-dimensional (2D) shape with straight sides that is fully closed (all the sides are joined up). The sides must be straight. Polygons may have any number of sides
Learn more about Polygon, refer to:
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