Answer:
Option a - ![a=\frac{2A}{h}-b](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B2A%7D%7Bh%7D-b)
Step-by-step explanation:
Given : Expression ![A=\frac{a+b}{2}\times h](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Ba%2Bb%7D%7B2%7D%5Ctimes%20h)
To find : Solve for a ?
Solution :
Step 1 - Write the expression,
![A=\frac{a+b}{2}\times h](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Ba%2Bb%7D%7B2%7D%5Ctimes%20h)
Step 2 - Multiply by 2 both side,
![2A=a+b\times h](https://tex.z-dn.net/?f=2A%3Da%2Bb%5Ctimes%20h)
Step 3 - Divide by h both side,
![\frac{2A}{h}=a+b](https://tex.z-dn.net/?f=%5Cfrac%7B2A%7D%7Bh%7D%3Da%2Bb)
Step 4 - Subtract by b both side,
![\frac{2A}{h}-b=a](https://tex.z-dn.net/?f=%5Cfrac%7B2A%7D%7Bh%7D-b%3Da)
Therefore, ![a=\frac{2A}{h}-b](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B2A%7D%7Bh%7D-b)
So, Option a is correct.