A city plans to build a new rectangular-shaped park. The perimeter of the park will be 940 meters. The width of the park will be 300 meters. What will be the length, in meters, of the new park?

Respuesta :

Answer: 170 meters.

Step-by-step explanation:

1. The formula for calculate the perimeter of a rectangle is:

[tex]P=2l+2w[/tex]

Where [tex]l[/tex] is the lenght and [tex]w[/tex] is the width.

2. You must solve for the lenght.

3. The problem gives the perimeter and the width, then, when you substitute these values you obtain the following result:

[tex]2l=P-2w\\l=\frac{P-2w}{2}\\l=\frac{940m-2(300m)}{2}\\l=170m[/tex]