An isosceles trapezoid

Question

An isosceles trapezoid has a perimeter of 49 kilometers. Its shorter base measures 6 kilometers and its longer base measures 11 kilometers. The two remaining sides have the same length; what is that length?

Answer 1

Hi Anae,

If x is the length of the remaining side, then the perimeter of the trapezoid is:

49 = 6 + 11 + x + x

49 = 17 + 2x

Subtract 17 from both sides: 32 = 2x

Divide both sides by 2: 32/2 = x

x = 16

The remaining sides both have a length of 16 kilometers