Question

the formula for finding the perimeter, p, of a rectangle with length / and width w is given.
p = 2l + 2w
which formula below is correctly solved for l?
a. l = \frac{p}{2}-2w
b. l = \frac{p - 2w}{2}
c. l = \frac{p}{2}+w
d. l = \frac{p - 2}{2w}
a
b
c
d
part b:
use the new formula to find the length (in meters) of a rectangle with a perimeter of 2 meters and a width of 0.4 meters.
your answer

Explanation:

Step1: Solve the formula \(P = 2l+2w\) for \(l\)

Subtract \(2w\) from both sides of the equation:
\(P - 2w=2l+2w - 2w\)
\(P - 2w = 2l\)

Step2: Divide both sides by 2

\(\frac{P - 2w}{2}=\frac{2l}{2}\)
\(l=\frac{P - 2w}{2}\)

Step3: Substitute \(P = 2\) and \(w = 0.4\) into \(l=\frac{P - 2w}{2}\)

\(l=\frac{2-2\times0.4}{2}\)
First, calculate \(2\times0.4 = 0.8\)
Then, \(2 - 0.8=1.2\)
Finally, \(\frac{1.2}{2}=0.6\)

Answer:

B. \(l=\frac{P - 2w}{2}\)
The length of the rectangle is \(0.6\) meters.