Question

A park is 4 times as it is wide. If the distance around the park is 12.5 kilometers what is the area of the park

Answer 1

6.25 km

Explanation:

Here is the correct 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?

Given: Perimeter (Distance) of the park= 12.5 km

Considering park is in rectangular shape.

Let the width of park be x

∴ as given length will be 4x.

Formula for perimeter of rectangle =
`2* (length + width)`

Perimeter is given 12.5 km

⇒
`12.5= 2* (4x+x)`

⇒
`12.5= 10x`

∴ x= 1.25 km, which means width is 1.25 km and length is 5 km.

Now, finding the area of park

Formula; Area of rectangle=
`length* width`

∴ Area of rectangle=
`5* 1.25 = 6.25 km`

∴Area of park will be 6.25 km.