Question

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?

Answer 1

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;

`a=3, b=4`

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

`Perimeter = a+b+c+d`

Substituting the values, we get;

`37=3+4+x+x`

`37=7+2x`

`30=2x`

`15=x`

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