Question

1. the formula for perimeter of a rectangle is p = 2l + 2w. use the formula to find the width (w) in meters of a rectangle with a perimeter of 2 meters and a length of 40 centimeters.

Explanation:

Step1: Convert length to meters

Given length $l = 40$ cm. Since $1$ m=$100$ cm, then $l=40\div100 = 0.4$ m.

Step2: Rearrange perimeter formula

The perimeter formula of a rectangle is $P = 2l+2w$. We can solve for $w$: $2w=P - 2l$, so $w=\frac{P - 2l}{2}$.

Step3: Substitute values

We know $P = 2$ m and $l = 0.4$ m. Substitute into the formula for $w$: $w=\frac{2-2\times0.4}{2}$. First, calculate $2\times0.4 = 0.8$. Then $2 - 0.8=1.2$. So $w=\frac{1.2}{2}=0.6$ m.

Answer:

$0.6$ m