Question

If a trapezoid has an area given by A = 1/2 × (b1 + b2)h, and the area is 14 square units, solve for b1 in terms of the other variables.

a) b₁=2A/h−b₂
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b) b₁=2A/h+b₂
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c) b₁=2A/h
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d) b₁=/hA−b₂

Answer 1

To solve for b1 in terms of other variables, you multiply the area formula by 2, divide by h, and then subtract b2, which results in the equation b1 = 2A/h - b2.

Step-by-step explanation:

To solve for b1 in terms of the other variables in the trapezoid area formula A = ½ × (b1 + b2)h, where the area A is given as 14 square units, you can follow these steps:

Multiply both sides of the equation by 2 to get rid of the fraction: 2A = (b1 + b2)h.

Divide both sides by h to solve for (b1 + b2): (b1 + b2) = ⅔A/h.

Subtract b2 from both sides to solve for b1: b1 = (⅔A/h) − b2.

After these steps, you arrive at the equation b1 = 2A/h − b2.