Question

A park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers, what is the area of the park? 2 answers

Answer 1

6.25 km^2.

Explanation:

Let the park be x km wide. Then it's length is 4x km.

Perimeter = 2(Length + width)

12.5 = 2(4x + x)

2*5x = 12.5

x = 12.5 /10 =1.25 km.

So the park is 1.25 km wide and 4*1.25 = 5 km long.

The area of the park = 1.25 * 5

= 6.25 km^2.

Answer 2

The area of the park is 6.25 square kilometers

Let's call the width of the park "w" kilometers. Since the park is 4 times as long as it is wide, its length is "4w" kilometers.

The distance around the park is the sum of the two lengths and two widths: 2w + 4w = 6w. We know this distance is also 12.5 kilometers: 6w = 12.5 kilometers.

Solving for w, we get: w = 12.5 kilometers / 6 = 1.25 kilometers.

Therefore, the length of the park is 4 * 1.25 kilometers = 5 kilometers.

Now, we can calculate the area of the park: area = length * width = 5 kilometers * 1.25 kilometers = 6.25 square kilometers.

So, the area of the park is 6.25 square kilometers.