Question

the area of a square field is 8 hectare.How long would a man take to cross it diagonally by walking at the rate 4km per hour

Answer 1

hope it will be helpful to you

Answer 2

Answer:

0.1 hour

Step-by-step explanation:

Area of square = $Side^2$

We are given that the area of a square field is 8 hectare.

1 hectare = 0.01 sq.km.

8 hectare = 0.08 sq.km.

So,  $Side^2=0.08$

$Side=\sqrt{0.08}$

$Side= 0.282842712475 km$

So, the side of square field is $0.282842712475 km$

Diagonal of square = $\sqrt{2}a$

Where a is the side

So, Diagonal of square field  = $\sqrt{2}0.282842712475 km=0.400000000001  km$

So, The length of diagonal is 0.400000000001 km

We are given that it cross diagonally by walking at the rate  4 km per hour

$ km is traveled in 1 hour

1 km traveled in hour = $\frac{1}{4}$

0.400000000001 km traveled in hour = $\frac{1}{4} \times 0.400000000001 km = 0.1 hour$

Hence a man take 0.1 hour to cross it diagonally by walking at the rate 4km per hour