Question

1. the formula p = 2l + 2w represents the perimeter of a rectangle. a) solve for l. b) find the length if the width is 4 meters and the perimeter is 30 meters.

Explanation:

Step1: Isolate the term with L in the perimeter formula

Given $P = 2L+2W$, we first subtract $2W$ from both sides.
$P - 2W=2L$

Step2: Solve for L

Divide both sides of the equation $P - 2W = 2L$ by 2.
$L=\frac{P - 2W}{2}$

Step3: Calculate perimeter for given values

We are given $W = 4$ meters and $L=30$ meters. Substitute into the perimeter formula $P = 2L+2W$.
$P=2\times30 + 2\times4$
$P = 60+8$
$P = 68$ meters

Answer:

a) $L=\frac{P - 2W}{2}$
b) 68 meters