the formula for the area of a trapezoid is a=1/2h(b+b) express b in terms a,h,and b2

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11-05-2015
Mathematics

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the formula for the area of a trapezoid is a=1/2h(b+b) express b in terms a,h,and b2

Answer :

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AL2006 AL2006 · Answer 1 · 2015-05-11T20:16:47-04:00

The area of a trapezoid is
A = (1/2) (h) (b1 + b2).

( 'h' is the height of the trapezoid. 'b1' and 'b2' are its two bases.)

You want the equation solved for one base.

A = (1/2) (h) (b1 + b2).

Multiply each side by 2 : 2A = h(b1 + b2)

Divide each side by 'h' : 2A/h = b1 + b2

Subtract b1 from each side: 2A/h - b1 = b2