Question

rectangles the formula ( p = 2ell+2w ) represents the perimeter of a rectangle. in this formula, ( ell ) is the length of the rectangle and ( w ) is the width.
a. solve the formula for ( ell ).

Explanation:

Step1: Subtract \(2w\) from both sides

$$P - 2w=2\ell+2w - 2w$$
$$P - 2w = 2\ell$$

Step2: Divide both sides by \(2\)

$$\frac{P - 2w}{2}=\frac{2\ell}{2}$$
$$\ell=\frac{P - 2w}{2}$$

Answer:

$$\ell=\frac{P - 2w}{2}$$