Problema Solution
A trapezoid has a perimeter of 117 cm. The two shortest sides have the same length. The third
side is 12 cm longer than one short side. The final side is 9 cm less than three times one
short side. How long is each side of the trapezoid?
Answer provided by our tutors
Let 'x' represent the length of each of the shortest sides with same length.
Third side is: 12 + x
Final side: 3x - 9
The perimeter is 117 cm means:
2x + 12 + x + 3x - 9 = 117
........
click here to see the equation solved for x
........
x = 19 cm
12 + 9 = 21 cm
3*19 - 9 = 48 cm
The sides of the trapezoid have the following lengths: 19 cm, 19 cm, 21 cm and 48 cm.