Question

A specific park is rectangular-shaped and has an 18-mile perimeter. The length is nine times the width. What are the dimensions of the park?

Answer 1

To determine the dimensions of a rectangular park with a perimeter of 18 miles and a length nine times its width, calculate the width by dividing the perimeter by 20, obtaining 0.9 miles, then find the length by multiplying the width by 9, resulting in a length of 8.1 miles.

Step-by-step explanation:

Given a rectangular-shaped park with an 18-mile perimeter, where the length is nine times the width, we need to find the dimensions of the park. To solve this, we use the perimeter formula for a rectangle, which is P = 2l + 2w (where P is the perimeter, l is the length, and w is the width).

Let w represent the width of the park. Then, the length (l) will be 9w. Putting these into the perimeter formula, we get:

1. 18 = 2(9w) + 2(w)
2. 18 = 18w + 2w
3. 18 = 20w
4. w = 18 / 20
5. w = 0.9 miles (the width of the park)

Now, we can calculate the length by multiplying the width by nine:

1. l = 9 × 0.9
2. l = 8.1 miles (the length of the park)

The dimensions of the park are therefore 0.9 miles in width and 8.1 miles in length.