Question

The length and breadth of a rectangular plot are in the ratio 7:5. If the length is reduced by
5 metres and breadth is increased by 2 metres, then the area is reduced by 65 m2
.The
length and breadth of the plot are?
pls answer this question!

Answer 1

Step-by-step explanation:

let length be 7x and breadth be 5x

area =35x^2

(7x-5)(5x+2)=35x^2-65

35x^2+14x-25x-10=35x^2-65

-11x-10=-65

11x=55

.°.x=5m.

length =35m.

breadth=25 m.

PLEASE MARK AS BRAINLIEST

Answer 2

Answer:

35 m and 25 m respectively!

Step-by-step explanation:

Let the ratio constant be 'k'

= > Length = 7 k

= > Breadth = 5 k

Area = 7 k × 5 k

= > Area = 25 k²

When length is reduced by 5 m , breadth is increased by 2 m

= > Length = 7 k - 5

= > Breadth = 5 k + 2

New is also get reduced by 65 m²

= > 35 k²  - 65

Now using area formula for new length and breath :

( 7 k - 5 ) ( 5 k + 2 ) =  35 k²  - 65

= >  35 k²  + 14 k - 25 k - 10 =  35 k² - 65

= > - 11 k - 10 = - 65

= > - 11 k = - 55

= > k = 5

Therefore , length and breath of the plot are 35 m and 25 m respectively!