An isosceles trapezoid has a perimeter of 37 centimeters. Its shorter base measures 3 centimeters and its longer base measures 4 centimeters. The two remaining sides have the same length; what is that length?

Given:

An isosceles trapezoid has a perimeter of 37 centimeters. Its shorter base measures 3 centimeters and its longer base measures 4 centimeters. The two remaining sides have the same length.

We need to determine the lengths.

Length of the remaining sides:

Let the length of the sides of the isosceles trapezoid be x.

Let a be the length of the shorter base.

Let b be the length of the longer base.

Thus, we have;

The formula to determine the length of the sides is given by

Substituting the values, we get;

Thus, the length of the sides of the isosceles trapezoid is 15 centimeters.

x:       y:  

-1         4

0         4

1         6

2         18

3         20  

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