Question

the length of a rectangle is greater than the breadth by 3. if the length is increased by 9 cm. and the breadth is reduced by 5 cm , the area remains the same , find the dimensions of the reactangle​

Answer 1

Answer:

Step-by-step explanation:

let the breadth be x

then the length will be 3x

according to the given equation:-

x+3*3x-5=3x*x

3x square -5x +9x-15=3x square

3x square +4x-15= 3x square

3x square +4x-3x=15

3x square +x= 15

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Answer 2

Answer:

L= 18cm. B = 15 cm

Step-by-step explanation:

let the breadth of the rectangle be x

the length of rectangle = x+3

Now,

Area of rectangle = length × breadth

= (x+3) × (x) = x^2 +3x

Length= x+3+9

Breadth= x-5

ATQ

( x+3+9) × (x-5 )= x^2 +3x

( x+12) × (x-5 ) = x^2 +3x

x^2 +12x -5x -60 = x^2 +3x

7x-3x = 60

4x = 60

x = 15. breadth =x = 15cm

length = x+3 = 18 cm