Question

6. The area ofa rectangular field is 768m² and its length is 32m. Find (i) the breadth of the field (ii) the cost of fencing it at ₹20 per metre.​

Answer 1

Answer:

(i) breadth = 24 m

(ii) cost of fencing =  Rs. 2240

Step-by-step explanation:

Here the area and length of the rectangular field are given

Area = 768 m²

length = 32 m

(i)We will first find the breadth

area = length × breadth

768 = 32 × breadth

breadth = 768/32

              = 24 m

(ii) The rate of fencing is ₹20 per metre.​

perimeter = 2 ( length + breadth )

                = 2 ( 32 + 24 )

                = 2 × 56

               = 112 m

Cost of fencing 112 m = 112 × 20

                                   = 2240

Answer 2

$\huge \underline \mathcal \color{red} {Answer↓}$

i) 24m

ii) ₹2240

Step-by-step explanation:

i)

Since,

$area \: = l \times b$

therefore,

$breadth = \frac{area}{length}$

Procedure,

$breadth = \frac{768}{32} m \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 24m$

therefore, the breadth is 24m

ii) In order to find the cost of fencing,

In order to find the cost of fencing, first, we need to find the perimeter

Since,

$perimeter = 2(l + b)$

$= 2(32 \times 24)m$

$= 2(56)m$

$= 2 \times 56m$

$= 112m$

Now, given that, cost of 1 metre of fencing is ₹20

Therefore,

$total \: cost \: = 20 \times 112 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2240$

Therefore, the cost of fencing the rectangular field is ₹2240