Question

Identify the option that correctly solve the formula for a


A=(a+b)2h


Responses

a=2hA−b
A is equal to 2 h cap A minus b

a=2Ah−b
A is equal to 2 cap A over h minus b

a=b−Ah2
A is equal to b minus cap A h over 2

a=Ah2−b

Answer 1

To solve the formula \( A = (a + b)2h \) for \( a \), we need to isolate \( a \) on one side of the equation.

1. Start with the original equation:
\[
A = (a + b)2h
\]

2. Divide both sides by \( 2h \):
\[
\frac{A}{2h} = a + b
\]

3. Now, subtract \( b \) from both sides:
\[
a = \frac{A}{2h} - b
\]

To match this with the provided options, we notice the equivalent formulation:

- The first option is \( a = 2hA - b \), which is incorrect.
- The second option is \( a = 2Ah - b \), which is also incorrect.
- The third option is \( a = b - \frac{Ah}{2} \), which is not equivalent to our derived equation (though similar).
- The fourth option is \( a = \frac{Ah}{2} - b \), which is incorrect as well.

None of the options given match the correct rearranged formula \( a = \frac{A}{2h} - b \).

It seems none of the responses provided solve the formula correctly.