Question

The area of a rectangular garden of length 40 m, is 1000 sqm. Find the breadth of the garden and its perimeter The garden is to be enclosed by 3 rounds of fencing, leaving an entrance of 4m. Find the cost of fencing the garden at a rate of 250 rupees per metre​

Answer 1

Answer:

Area =L×B

L×B=1000m2

40m×B=1000m2

B=40m1000m2

B=25m

perimeter =2(L+B)

=2(40+25)

=2×65m=130m

Entrance 4m so 130m−4m=126m

Fencing 3 rounds so ÷3×perimeter

=3×126=378m

Given cost of fencing 250 Rs per 1m

So ⇒378×250

=94500 rupees.

Answer 2

Question :

The area of a rectangular garden of length 40 m, is 1000 sqm. Find the breadth of the garden and its perimeter The garden is to be enclosed by 3 rounds of fencing, leaving an entrance of 4m. Find the cost of fencing the garden at a rate of 250 rupees per metre .

Answer :

$\bf\red {Given :}$

• The area of a rectangular garden is 1000 Sq m .

• The length of the rectangular garden is 40 m.

• 4 m space is to be leaved for entrance

• The garden is to be enclosed by 3 rounds of fencing .

• Rate of fencing is 250 Rs per m .

$\bf\red {To\:find :}$

• The breadth of the rectangular garden?

• Perimeter of the rectangular garden?

• cost of fencing the garden?

Explanation :

$\bf\pink {Area\:of\:rectangle = length\times breadth}$

$\\ \longrightarrow\sf{1000 = 40\times breadth}$

$\\ \longrightarrow\sf{\dfrac {1000}{40} = breadth}$

$\\ \longrightarrow\sf{ 25\:m = breadth}$

• Therefore the breadth of the rectangular garden is 25 m.

$\bf\purple {Perimeter \:of\:rectangle = 2 ( l + b )}$

$\\ \longrightarrow\sf{ 2 ( 40 + 25 )}$

$\\ \longrightarrow\sf{ 2\times 65}$

$\\ \longrightarrow\sf{ 130}$

• Therefore the perimeter of the rectangular garden is 130 m .

Subtracting 4 m from the perimeter because that is not to be fenced .

$\\ \longrightarrow\sf{ 130 - 4}$

$\\ \longrightarrow\sf{ 126}$

• Therefore 126 m is to be fenced.

$\bf\green {Cost\:of\:fencing =250\times (3\times 126)}$

$\\ \longrightarrow\sf{ 250\times 378}$

$\\ \longrightarrow\sf{ 94500}$

• Therefore the cost is Rs 94500