Answer :
Final answer:
To find the perimeter of a rhombus, you first calculate the length of one side using the given area and height. Then, you multiply the side length by 4, as a rhombus has four sides of equal length. Here, it gives us 58 cm which does not match with any of the provided options.
Explanation:
To calculate the perimeter of a rhombus, you'll first need to find the length of the sides. Since the area of a rhombus is given by the formula Area = base x height, we can calculate the base (or side length) using the provided information. Given area is 139.2 cm² and height is 9.6 cm, the base becomes Area/height= 139.2 cm² / 9.6 cm = 14.5 cm.
Now we know one side of the rhombus is 14.5 cm. Since all sides are equal in a rhombus, to calculate the perimeter, we have to multiply the length of one side by 4: Perimeter = 4 x side length = 4 x 14.5cm = 58 cm. So, none of the provided options are correct.
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