Question

A 10 metre long rope is to be cut into two pieces and a square is to be
made using each. The difference in the areas enclosed must be
1 square metres. How should it be cut?​

Answer 1

Answer:

4.2 m  & 5.8 m should be length of two pieces

Step-by-step explanation:

A 10 metre long rope is to be cut into two pieces and a square is to be

made using each. The difference in the areas enclosed must be

1 square metres. How should it be cut?​

Let say one length = X

Then other Length = 10 - X

Side of Squares would be  X/4   & (10-X)/4

Area of Square would be X²/16  & (10-X)²/16

let say X is smaller side

then (10-X)²/16  - X²/16  = 1

=> (100 + X² - 20X - X²) = 16

=> -20X = -84

=> X = 4.2

10-X = 5.8

4.2 m  & 5.8 m should be length of two pieces