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 =[tex]2\times (length + width)[/tex]
Perimeter is given 12.5 km
⇒ [tex]12.5= 2\times (4x+x)[/tex]
⇒ [tex]12.5= 10x[/tex]
∴ 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= [tex]length\times width[/tex]
∴ Area of rectangle= [tex]5\times 1.25 = 6.25 km[/tex]
∴Area of park will be 6.25 km.
