SOLUTION: Find the length of one base of a trapezoid if the area of the trapezoid is 46cm squared, the height is 4 cm and the length of the other base is 6cm.

Algebra ->  Parallelograms -> SOLUTION: Find the length of one base of a trapezoid if the area of the trapezoid is 46cm squared, the height is 4 cm and the length of the other base is 6cm.      Log On


   

Question 155799: Find the length of one base of a trapezoid if the area of the trapezoid is 46cm squared, the height is 4 cm and the length of the other base is 6cm.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
Area%5BT%5D=%281%2F2%29height%28b%5B1%5D%2Bb%5B2%5D%29
Given: A%5BT%5D=46cm%5E2, h=4cm, b%5B2%5D=unknown, & b%5B1%5D=6cm
Substitution:
46cm%5E2=%281%2Fcross%282%29%29%28cross%284%292cm%29%286cm%2Bb%5B2%5D%29
46=12%2B2b%5B2%5D
46-12=2b%5B2%5D ----> 34=2b%5B2%5D
cross%2834%2917%2Fcross%282%29=cross%282%29b%5B2%5D%2Fcross%282%29
17=b%5B2%5D ------------------------------> length of the other base
Thank you,
Jojo