Answer: The length of the remaining sides of the trapezoid is 11.3 millimeters.
Explanation:
An isosceles trapezoid is a shape with two parallel sides of different lengths. In this case, the shorter base of the trapezoid measures 6.3 millimeters, and the longer base measures 16.1 millimeters.
We know that the perimeter of the trapezoid is 45 millimeters. Perimeter is the total distance around the shape, so we add up all the sides of the trapezoid to get:
shorter base + longer base + two equal sides = 45
Substituting the given values, we get:
6.3 + 16.1 + 2x = 45
Simplifying the equation gives us:
2x = 22.6
Dividing both sides by 2 gives us:
x = 11.3