Answer :
The length of the fourth side of the quadrilateral, given the perimeter of 38.6 millimeters, is found to be 10.7 millimeters. This is determined by subtracting the sum of the three given side lengths from the total perimeter.
To find the length of the fourth side of the quadrilateral, we can use the formula for the perimeter of a quadrilateral.
The perimeter is the sum of all four sides. Given that the perimeter is 38.6 millimeters, and the three known sides are 11.4 millimeters, 7.5 millimeters, and 9 millimeters,
we can set up the equation:
Perimeter = Side 1 + Side 2 + Side 3 + Side 4
38.6 mm = 11.4 mm + 7.5 mm + 9 mm + Side 4
Add together the lengths of the three known sides:
11.4 mm + 7.5 mm + 9 mm = 27.9 mm
Next, we subtract this sum from the total perimeter to find the length of the fourth side:
38.6 mm - 27.9 mm = 10.7 mm
Therefore, the length of the fourth side is 10.7 mm.
