SOLUTION: A person jogged 10 times along the perimeter of a rectangle field at the rate of 12 kilograms per hour for 30 minutes. If field has a length twice it's width find the area of the

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A person jogged 10 times along the perimeter of a rectangle field at the rate of 12 kilograms per hour for 30 minutes. If field has a length twice it's width find the area of the       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 988698: A person jogged 10 times along the perimeter of a rectangle field at the rate of 12 kilograms per hour for 30 minutes. If field has a length twice it's width find the area of the field in square meters

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A person jogged 10 times along the perimeter of a rectangle field at the rate of 12 kilograms per hour for 30 minutes.
If field has a length twice it's width, find the area of the field in square meters
:
Find how far he goes in a half hour at 12 km/hr
12 * 1%2F2 = 6 km or 6000 meters
He jogged 10 times around, therefore
6000/10 = 600 meters is the perimeter of the rectangle
:
let w = the width of the rectangle
"If field has a length twice it's width", therefore
2w = the length of the rectangle
:
The perimeter
2(2w) + 2w = 600
simplify, divide by 2
2w + w = 300
3w = 300
w = 300/3
w - 100 meters is the width
then
2(100) = 200 meters is the length
The area
A = 200 * 100
A = 20,000 sq meters is the area of the rectangle