Question

The length and breadth of rectangular piece of land are in the ratio 5:3 if the total cost of finishing at ₹7 rate per metre rate ₹2800 find the area of the plot

Answer 1

Here,
Total cost of finishing = 2800 Rupees
Rate per meter = 7 rupees / meter

Therefore, Perimeter of field
$= \frac{total \: cost}{rate}$
$= \frac{2800}{7}$
$= 400$
Therefore, Perimeter of field = 400 m

Now,
Let the length of field be 5x and breadth 3x
Then, According to the question,

$3x + 5x = 400$
$= > 8x = 400$
$= > x = \frac{400}{8}$
$= > x = 50$
Therefore, length = 5x = 5 × 50 = 250m
And, breadth = 3x = 3 × 30 = 150m

Hence, area of field=

$l \times b$
$= 250 \times 150$
$= 37500$
Therefore, area = 37500 m².
That's your answer.

Hope it'll help.. :-D

Answer 2

Answer:-

5 : 3 is length and breadth of Rectangle

₹ 7 per/m Rate of Fencing

Rs. 2800 is the Cost of Fencing

2800÷7

400 is the perimeter

5x is the length

3x is the breadth

=2(5x+3x)=400=2(5x+3x)=400

=10x+6x=400=10x+6x=400

=16x=400=16x=400

=x= 16400=x=16400

=x=25=x=25

(Eq) 1

=5×25=5×25

=125=125

(Eq) 2

=3×25=3×25

=75=75

125 unit is the length

75 unit is the breadth

(Area=L×B)

=125×75=125×75

=9375=9375

Therefore, 9375 is the area of plot