Question

the area of a rectangular field is 48m~2 and one of it side is 6 m how long will a Lady take to cross the field diagonally at the rate of 20m/minute

Answer 1

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Answer 2

30 second is the time a lady will take to cross the field diagonally at the rate of 20m/minute.

Step-by-step explanation:

Given,

The area of a rectangular field = 48 $m^{2}$

Area of rectangle = l * b

⇒ 48 = 6 * breadth

⇒ breadth = 48/6

= 8m

In ΔACD, ∠D = 90°

∵ By using pythagoras theorem,

⇒ $AD^{2} + DC^{2}$ = $AC^{2}$

⇒ $(6)^{2}$ + $(8)^{2}$ = $AC^{2}$

⇒ 36 + 64 = $AC^{2}$

⇒ $\sqrt{100}$ = $AC^{2}$

AC = 10cm

To find,

Time taken = Distance/Speed

= 10/20

= 1/2 minute or 30 seconds

Learn more: Area of rectangular field

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