Question

24. A rectangular garden has an area 2000 sqmetres and its length is 50metres. If the
garden is to be fenced what will be the total length of the fence ?
A. 200m
B. 150m
C. 180m
D. 90m​

Answer 1

Answer:

180 Is the answer of this question

Answer 2

Before, finding the answer. Let's find out how we can find the answer.

• In this question, we are asked to find the length required for fencing the garden.
• So, to find that, we have to first find the breadth of the garden. And to find the breadth, we have to divide the area by the length of the garden.
• After we find the breadth, we have to find the Perimeter of the garden.
• So, to find the Perimeter, we must use the formula :

$\boxed{ \sf Perimeter \: of \: Rectangle = (2 \times l) + (2 \times b)}$

__________________________

Given :

• Area of Garden = 2000 m²
• Length = 50 m

To find :

• length of fence required for fencing

Solution :

Area of Rectangular garden = l × b

                                     2000 = 50 × b

                                                $\sf = \dfrac{2000}{50}$

                                                $\sf = 40$

Therefore, the breadth of the field is 40 m.

Now,

• Since fencing is asked in the question, we have to find the Perimeter of the Garden.

Perimeter of Rectangle = (2 × l) + (2 × b)

                                       = (2 × 50) + (2 × 40)

                                       = (100) + (80)

                                       = 180

Therefore, the total length of fence required to fence is 180 m.