Question

the ratio between the length and the breadth of a rectangular field is 3 ratio 2 if only the length is increased by 5m new area of the field will be 2600 square metres what is the breadth of the rectangular field???

Answer 1

Let the length and breadth be 3x and 2x.
Given,
New length= (3x+5)m
Area = l*b
2600=(3x+5)*2x
2600=6x²+10x
6x²+10x-2600=0
3x²+5x-1300=0
3x²+65x-60x-1300=0
x(3x+65)-20(3x-65)=0
(x-20)(3x+65)=0
Since, side can't be negative...
x=20m
Breadth= 2*20= 40m
Please mark the answer brainliest...

Answer 2

Answer:

The breadth of the rectangle is 39m.

Step-by-step explanation:

Given that,

The length and breadth of a rectangular field are in ratio 3:2.

Let the length and breadth of the given rectangle be

$l=3k,b=2k$

Given that,

If only length of the rectangle is increased by 5m the area becomes $A=2600m^2$

We know that area is the product of length and breadth.Therefore,

$2600=(3k+5)(2k)\\= > 6k^2+10k-2500=0\\= > k=19.5$

Hence the breadth of the rectangle is $b=2k=2(19.5)=39m$

Therefore,

The breadth of the rectangle is 39m.

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