Question

The area of a rectangle gets reduced by 9square unit if its length is reduced by 5 unit and breath is increased by 7 unit. If we increase length by 3units and breadth by 2units, the area increased by 67square units find the dimension of the rectangle

Answer 1

Answer:

Length =12.35 unit Breadth = 12.1 unit

Step-by-step explanation:

Let the length be x unit

Let the breadth be y unit

and then the area of the rectangle is xy square unit

Now,

According to given question

(x-5)(y+7) = (xy-9)

xy +7x - 5y - 35 = xy-9

7x - 5y = 26 .........................(1)

(x+3)(y+2)=xy+67

xy+2x+3y+6=xy+67

2x+3y = 61 .............................(2)

We shall solve it with using Elimination method ,

Now , multiply of 3 in eq.(1)

21x - 15y = 78 .........................(3)

Multiply 5 in eq.(2)

10x+15y=305 ...........................................(4)

Add equation (3) & (4)

21x-15y=78

10x+15y=305

31x = 383

x = 12.35 unit

Put the value of x in eq.(2)

2(12.35)+3y=61

24.7+ 3y= 61

3y= 36.3

y= 12.1 unit