the measures of 2 adjacent side of a parallelogram are in the ratio 17:7 if the second side measures 3.5cm find the perimeter of parallelogram ?
S1/3.5 = 17/7.
S1 = (17/7) * 3.5 = 8.5 cm.
P = 2*3.5 + 2*8.5 = 24 cm.
To find the perimeter of the parallelogram, we need to know the lengths of all four sides. Given that the ratio of the lengths of the adjacent sides is 17:7, and the second side measures 3.5 cm, we can use this information to find the length of the first side.
Step 1: Set up the ratio
Let the length of the first side be x cm. Since the ratio of the lengths is 17:7, we can set up the equation:
17/7 = x/3.5
Step 2: Solve the equation
To find x, we can cross-multiply and solve for x:
17 * 3.5 = 7 * x
59.5 = 7x
x = 59.5/7
x ≈ 8.5 cm
Therefore, the first side of the parallelogram measures approximately 8.5 cm.
Step 3: Find the perimeter
The perimeter of a parallelogram is calculated by adding up all four sides. In this case, we have:
Perimeter = 2(first side) + 2(second side)
= 2(8.5) + 2(3.5)
= 17 + 7
= 24 cm
Therefore, the perimeter of the parallelogram is 24 cm.