Questions on Geometry: Parallelograms answered by real tutors!

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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.: 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(1030) About Me  (Show Source):
You can put this solution on YOUR website!
Area[T]=(1/2)height(b[1]+b[2])
Given: A[T]=46cm^2, h=4cm, b[2]=unknown, & b[1]=6cm
Substitution:
46cm^2=(1/cross(2))(cross(4)2cm)(6cm+b[2])
46=12+2b[2]
46-12=2b[2] ----> 34=2b[2]
cross(34)17/cross(2)=cross(2)b[2]/cross(2)
17=b[2] ------------------------------> length of the other base
Thank you,
Jojo