the sides of a polygon have lengths of 2cm,5cm,6cm,4cm,9cm and the perimeter of a smaller polygon is 78cm Find the length of the sides of the larger polygon
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To find the lengths of the sides of the larger polygon, we need to know the ratio between the sides of the smaller polygon and the larger polygon.
Since the perimeter of the smaller polygon is given as 78 cm, we can assume that the length of each side of the smaller polygon has been multiplied by the same factor to get the corresponding sides of the larger polygon.
Let's assume the ratio between the sides of the larger polygon and the smaller polygon is x. To find x, we can divide the perimeter of the larger polygon by the perimeter of the smaller polygon:
x = (Perimeter of larger polygon) / (Perimeter of smaller polygon)
x = (Perimeter of larger polygon) / 78
Now, we can find the length of each side of the larger polygon by multiplying the corresponding side of the smaller polygon by x:
Side 1 of larger polygon = Side 1 of smaller polygon * x
Side 2 of larger polygon = Side 2 of smaller polygon * x
Side 3 of larger polygon = Side 3 of smaller polygon * x
Side 4 of larger polygon = Side 4 of smaller polygon * x
Side 5 of larger polygon = Side 5 of smaller polygon * x
Substituting the given side lengths of the smaller polygon, we have:
Side 1 of larger polygon = 2 cm * x
Side 2 of larger polygon = 5 cm * x
Side 3 of larger polygon = 6 cm * x
Side 4 of larger polygon = 4 cm * x
Side 5 of larger polygon = 9 cm * x
Now, we need to calculate the value of x. To do this, we divide the perimeter of the larger polygon by 78:
x = (Perimeter of larger polygon) / 78
Since the perimeter of the larger polygon is not given, we cannot calculate the exact lengths of the sides of the larger polygon without additional information.