Final answer:
To find the sides of a parallelogram with a 5:3 ratio and a perimeter of 63, one side is represented as 5x and the other as 3x. Solving the perimeter equation 63 = 2(5x + 3x) gives us side lengths of approximately 19.7 and 11.8.
Step-by-step explanation:
The student asked about finding the lengths of the sides of a parallelogram when the sides are in the ratio 5:3 and the perimeter is 63. In this scenario, the perimeter (P) of the parallelogram can be found by using the formula P = 2(a + b), where a and b are the lengths of the adjacent sides. Since the sides are in a 5:3 ratio, we can let 5x represent one side length and 3x represent the other. The perimeter equation then becomes 63 = 2(5x + 3x). Solving for x, we get:
63 = 16x
x = 63 / 16
x = 3.9375
Therefore, the lengths of the sides are:
5x = 5 × 3.9375 = 19.6875
3x = 3 × 3.9375 = 11.8125
Hence, the lengths of the parallelogram's sides are approximately 19.7 and 11.8 units.