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

Answer:

6.25 km

Step-by-step 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 =$2\times (length + width)$

Perimeter is given 12.5 km

⇒ $12.5= 2\times (4x+x)$

⇒ $12.5= 10x$

∴ 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= $length\times width$

∴ Area of rectangle= $5\times 1.25 = 6.25 km$

∴Area of park will be 6.25 km.