Question

Area of a square is given as 12800 sq miles, find the time taken by a lady to move across a diagonal with speed of 15 miles per hour.

Answer 1

Area of the Square = 12800 sq miles.

∴ Side of the Square = √12800 miles.

∴ Diagonal of Square = a√2

= √12800 × √2

= √25600

= 160 miles.

∵ Speed = Distance/Time.

∴ Time = 160/15

= 10.67 hrs.

Hope it helps.

Answer 2

Solution :-

Area of the square = 12800 sq miles

Diagonal of a square = √2A

⇒ √12800*2

⇒ √25600

⇒ 160

⇒ Diagonal of the given square = 160 miles

Speed of the lady = 15 miles per hour

Speed = Distance/Time

⇒ 15 = 160/Time

⇒ Time = 160/15

⇒ 32/3

= 10 2/3 hours or 10 hours 40 minutes

So, the lady will take 10 hours and 40 minutes.