Question

Rectangular field 400 m long has area of six hectares calculate the perimeter of the field [1 hectare +10,000 m²]

Answer 1

$\sf\large\underline{Given:}$

• $\tt{Rectangle\:_{(length)}=400m}$
• $\tt{Rectangle\:_{(area)}=6\: hectares}$

$\sf\large\underline{To\: Find:}$

• $\tt{Perimeter\:_{(rectangle)}=?}$

$\sf\large\underline{Solution:}$

• At first calculate the area of rectangle with the of help given unit in the question than the breadth of rectangle than calculate perimeter]

We know, that

• 1 Hectares=10000m²
• 6 Hectares=60000m²

$\sf\large\underline{Formula\: used:}$

$\tt{\implies Breadth=\frac{Area}{length}}$

$\tt{\implies Breadth=\frac{60000}{400}}$

$\tt{\implies Breadth=150m}$

• Now, calculate the perimeter of rectangle]

$\tt{\implies Perimeter\:_{(rectangle)}=2(Length+breadth)}$

$\tt{\implies Perimeter\:_{(rectangle)}=2(400+150)}$

$\tt{\implies Perimeter\:_{(rectangle)}=2\times\:550}$

$\tt{\implies Perimeter\:_{(rectangle)}=1100m}$

$\sf\large{Hence,}$

$\bf{\implies Perimeter\:_{(rectangle)}=1100m}$

Answer 2

$\huge\mathfrak{Answer:}$

Given:

• We have been given that the length of a rectangular field is 400m.
• Area of rectangular field is 6 hectares.

To Find:

• We need to calculate the perimeter of the rectangle.

Points To Remember:

• Area of rectangle is (length × breadth).
• Perimeter of rectangle is 2(length + breadth).
• 1 hectare = 10000m²

Solution:

Let width of rectangle be (x)m.

Length = 400m

We know that,

area of rectangle is length × breadth

=> 400 × x = 6 × 10000

=> 400x = 60000

=> x = 60000/400

=> x = 150m

Now, we need to find the perimeter of the rectangle, we have

Perimeter of rectangle = 2( length + breadth)

=> 2(400 + 150)

= 2(550)

= 1100m

Hence, the perimeter of the rectangular field is 1100m.