Question

A rectangular field is 125 meters long and 85 meters wide.

Give the length and width of another rectangular field that has the same perimeter but a larger area.

Answer 1

Answer: Length 105 Width 105

There are other possible answers

Explanation:

Perimeter of the field is = (2)*(125) + (2)*(85) = 420

Area of the field is = (85)*(125) = 10,625

You need to find two other numbers that when doubled add up to 420, and when multiplied together are greater than 10,625. Guess and check can work, however making a square will yield the highest results, you can find the dimensions of said square by dividing 420 by 4 to get 105.

(2)*(105) + (2)*(105) = 420

(105)(105) = 11,025

420 = 420

11,025 > 10,625