Question

solve for l in the formula ( p = 2w + 2l ) (assuming the original formula has a typo and should be ( p = 2w + 2l ) for perimeter of a rectangle, as the options suggest solving for l).

a. ( l = p - w )

b. ( l = \frac{1}{2}p - w )

c. ( l = w - \frac{p}{2} )

d. ( l = 2p - w )

Explanation:

Step1: Start with the formula \( P = 2W + 2L \)

We need to solve for \( L \). First, subtract \( 2W \) from both sides:
\( P - 2W = 2L \)

Step2: Divide both sides by 2

\( \frac{P - 2W}{2} = L \)
Simplify the right - hand side:
\( L=\frac{1}{2}P - W \)

Answer:

B. \( L=\frac{1}{2}P - W \)