Question

Make B The Subject of the relation
Pb = 1/2(a+b)h

Answer 1

Answer: To make B the subject of the formula, we need to isolate B on one side of the equation. Let's go step by step to achieve this:

Given equation: Pb = 1/2(a + b)h

Step 1: Multiply both sides by 2 to eliminate the fraction:

2 * Pb = 2 * 1/2(a + b)h

Step 2: Simplify the left side:

2 * Pb = (a + b)h

Step 3: Divide both sides by h to isolate (a + b):

(2 * Pb) / h = a + b

Step 4: Now, isolate B by subtracting 'a' from both sides of the equation:

(2 * Pb) / h - a = b

So, the equation with B as the subject is:

B = (2 * Pb) / h - a

Explanation:

Answer 2

b =
`(ah)/(2P-h)`

Explanation:

given

Pb =
`(1)/(2)` (a + b)h ← multiply both sides by 2 to clear the fraction

2Pb = (a + b)h ← multiply each term in the parenthesis by h

2Pb = ah + bh ( subtract bh from both sides )

2Pb - bh = ah ← factor out b from each term on the left side

b(2P - h) = ah ← divide both sides by (2P - h)

b =
`(ah)/(2P-h)`