For a trapezoid, the following formula relates the area A, the two bases a and b, and the height h.
A=(a+b)2hA=(a+b)2h
Solve for a.
a=2Ah+ba=2Ah+b
a=2A−bha=2A−bh
a=2Ah−ba=2Ah−b
a=Ah2−b
A = h (a+b)/2
2 A/h = a + b
a = 2A/h - b
The correct equation to solve for a in terms of A, b, and h is:
a = (2A - bh) / h
To solve for a in the formula A = (a + b) * 2h, we need to isolate the variable a. Here's how to do it step by step:
1. Start with the formula A = (a + b) * 2h.
2. Divide both sides by 2h to get rid of the coefficient 2h: A / (2h) = (a + b).
3. Now, we want to isolate the variable a. So, subtract b from both sides: A / (2h) - b = a + b - b.
4. Simplify the right side: A / (2h) - b = a.
5. Rearrange to make a the subject of the equation: a = A / (2h) - b.
Now you have the formula to solve for the value of a in terms of A, b, and h.
h(a+b)/2
not times 2
average base times height, common sense