Question

the length and breadth of a rectangular field are in the ratio 3:2 ,if the perimeter of the field is 250m find the cost of reaping the field at rs 15 per 50 meter square

Answer 1

heya!! mate^_^

your answer is - - - -

Given :-

$length=3x$

$breadth=2x$

$perimeter=250m^2$

_______________

To Find :-

cost of reaping it at rs. 15 per 50 sq. m

_______________

SOLUTION :-

$2(3x+2x)=250m$

$6x+4x=250m$

$10x=250m$

$x=250/10$

$x=25m$

$length=$

$25×3=75m$

$breadth=$

$25×2=50m$

area= 50×75

$=3750m^2$

Cost of reaping it:-

$3750/50= 75$

75×15=1125rs.

Answer 2

Let the required ratio be x

Then

The dimensions become 3x and 2x

We know that

Perimeter = 2 (l+b)

250. = 2 ( 3x+2x )

250 = 2× 5x

10x = 250

x = 250/10

x = 25

Then the dimensions become

l = 3x

= 3×25

= 75 m

b = 2x

= 2×25

= 50 m

Then

area of rectangular field = l × b

= 75 × 50

= 3750 m^

Cost of repairing = 3750/50 × 15

= 75 × 15

= Rs 1125