Question

An isosceles trapezoid has a perimeter of 51. 1 miles. Its shorter base measures 1. 6 miles and its longer base measures 10. 3 miles. The two remaining sides have the same length; what is that length?

Answer 1

The perimeter of an isosceles trapezoid is the sum of the lengths of all four sides. Let x be the length of the two remaining sides. Then, the perimeter of the trapezoid is:

Perimeter = 1.6 + 10.3 + x + x = 12.2 + 2x

We know that the perimeter is 51.1 miles, so:

12.2 + 2x = 51.1

Solving for x, we get:

2x = 38.9

x = 19.45

Therefore, the length of the two remaining sides is 19.45 miles.