Question

a rectangle has the same area as another whose length is 6 metre more and breadth is 4 less and it has also the same area as the third whose length is 8 metre more and breadth find less find the length and breadth of the original rectangle

Answer 1

Answer: okay so in this you just have to equate the three equations and solve.

Step-by-step explanation:,

let the length of the first rect be l

let the breadth of the first rect be b

now area of this rectangle: lb                                 (1)

acc to question:

length of second rect: l+6

breadth of second rect: b-4

area: l+6 × b-4

= 6b-4l+lb-24                            (2)

equating 1 and 2

lb= 6b -4b +lb-24

lb-lb=6b-4l-24

4l+6b= 24

or 2l+3b=12

length of third rect: 8+l

breadth of third rect: b