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;
[tex]a=3, b=4[/tex]
The formula to determine the length of the sides is given by
[tex]Perimeter = a+b+c+d[/tex]
Substituting the values, we get;
[tex]37=3+4+x+x[/tex]
[tex]37=7+2x[/tex]
[tex]30=2x[/tex]
[tex]15=x[/tex]
Thus, the length of the sides of the isosceles trapezoid is 15 centimeters.
