Alright People - Got a math problem for ya - Be the first to solve it!

United States
July 27, 2007 8:34am CST
The perimeter (outside) of a rectangle yard measures 1000 feet. If each side of the yard is an integer length. What is the maximum area of the yard to the nearest square foot. Remember: area of a rectangle is length x width Let me hear your answers.
3 responses
• Australia
27 Jul 07
That would depend on the measurements. If the rectangle was 400 feet x 100 feet the perimeter would be 1000 feet but the area would be different from that of a rectangle 300 feet x 200 feet where the perimeter is still 1000 feet.
• United States
27 Jul 07
very true... what would the measurements have to be to max area?
• Australia
28 Jul 07
Sorry. I didn't see the maximum in there. The maximum, keeping to whole integers and a rectangle would be 62,499 square feet. (251 x 249)
• United States
28 Jul 07
close if it were 250 by 250 =62,500 The key was to make all sides equal I know what you're saying Thats a square, but a square is a rectangle great effort
@carol_m (709)
• Philippines
28 Jul 07
max area would be 62500 square feet =)
• United States
28 Jul 07
You got it! 250 by 250 Excellent
27 Jul 07
is it 600 sq ft? I'm useless at maths but thought I would have ago
• United States
27 Jul 07
No good try though, you can send me a message for the answer