Question

The formula for the perimeter of a rectangle is P=2l+2w

Which equation show the formula in terms of w?

(1 point)
Responses

l=P−2w2
l is equal to the fraction with numerator cap p minus 2 w and denominator 2

w=P−2l2
w is equal to the fraction with numerator cap p minus 2 l and denominator 2

w=P−l
w is equal to cap p minus l

w=P−2l2

Answer 1

To express the perimeter formula \( P = 2l + 2w \) in terms of \( w \), we need to isolate \( w \) in the equation.

Starting with the original formula:

\[ P = 2l + 2w \]

We can rearrange this to solve for \( w \):

1. Subtract \( 2l \) from both sides:
\[ P - 2l = 2w \]

2. Now, divide both sides by 2:
\[ w = \frac{P - 2l}{2} \]

Thus, the correct equation that shows the formula in terms of \( w \) is:

**w = \(\frac{P−2l}{2}\)**

The correct response from your options is:

**w = P−2l2** (Note that this is correctly represented as \( w = \frac{P - 2l}{2} \) in fractional form).