<u>Given:</u>
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.
<u>Length of the remaining sides:</u>
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](https://tex.z-dn.net/?f=a%3D3%2C%20b%3D4)
The formula to determine the length of the sides is given by
![Perimeter = a+b+c+d](https://tex.z-dn.net/?f=Perimeter%20%3D%20a%2Bb%2Bc%2Bd)
Substituting the values, we get;
![37=3+4+x+x](https://tex.z-dn.net/?f=37%3D3%2B4%2Bx%2Bx)
![37=7+2x](https://tex.z-dn.net/?f=37%3D7%2B2x)
![30=2x](https://tex.z-dn.net/?f=30%3D2x)
![15=x](https://tex.z-dn.net/?f=15%3Dx)
Thus, the length of the sides of the isosceles trapezoid is 15 centimeters.