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Given the following formula, solve for b1.

A= 1/2(b1+b2) h

1 Answer

1 vote

Final answer:

To solve for b1 in the formula A = 1/2(b1 + b2) h, you isolate b1 by dividing both sides by 1/2*h and then subtracting b2, leading to the formula b1 = (2A)/h - b2.

Step-by-step explanation:

The equation provided is for calculating the area (A) of a trapezoid, where b1 and b2 are the lengths of the two parallel sides (bases) and h is the height. To solve for b1, you need to manipulate the formula:

A = 1/2(b1 + b2) h

First, you can divide both sides by 1/2*h to isolate b1 + b2:

b1 + b2 = (2A)/h

Then subtract b2 from both sides to solve for b1:

b1 = (2A)/h - b2

This gives you the value of b1 based on the area, the height, and the length of the second base.

User Komatsu
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