the perimeter p of a rectangle can be found using the formula p=2(l+w)

where l represents the length and w represents the width. which equation represents the width in the terms of p and l.
a) w=2(p-l)
b)w=p-l/2
c) w=2p-1
d) w=p/2-1
p=2l+2w
p-2l/2=w
p/2-l=w
the answer would be d)
Is this correct? Thanks for checking my work

No, the correct equation that represents the width in terms of p and l is:

w = p/2 - l

So, option d) w = p/2 - 1 is not the correct equation.

The correct answer is:

b) w = p - l/2

Actually, the correct answer is b) w = p - l/2.

Let's go through the steps to find the equation representing the width in terms of p and l:

1. Start with the formula for the perimeter of a rectangle: p = 2(l + w).
2. We want to solve for w, so isolate it on one side of the equation.
Subtract 2l from both sides:
p - 2l = 2w.
3. Divide both sides by 2 to solve for w:
(p - 2l)/2 = w.
4. Simplify the equation further:
p/2 - l = w.
Here, we can see that the width w is equal to p/2 minus l, which matches option b).

So, the correct answer is b) w = p - l/2.

correct

thank you