Question

The length of the rectangle exceeds its breadth by 3 cm. If the length and breadth are each
increased by 2 cm, then the area of new rectangle will be 70 sq.cm more than that of the given
rectangle. Find the length and breadth of the given rectangle.​

Answer 1

Step-by-step explanation:

let take length x and breadth x-3 =they increase by 2 cm so l=x+2 and b=x-3+2 and area x+2×x-1=70=72÷2=36 =√36=6 and b=3 and l=6

Answer 2

Answer:

Let be the breadth x

length =x+3

according to the question if we compare the rectangle's area to the new rectangle's area the difference will be 70sq cm

area of the first rectangle =

x ( x + 3 )

= $x^{2}$ + 3x

after adding 2cm to length and breadth will x + 3 + 2 and x + 2

area of the new rectangle =

( x + 3 + 2 ) ( x + 2 )

( x + 5) ( x + 2 )

x ( x + 2 ) + 5 ( x + 2 )

$x^{2}$ + 2x + 5x + 10

= $x^{2}$ + 7x + 10

according to the question

( $x^{2}$ + 7x + 10 ) - ( $x^{2}$ + 3x ) = 70

$x^{2}$ + 7x + 10 - $x^{2}$ - 3x = 70

$x^{2}$ - $x^{2}$  + 7x - 3x + 10 = 70

4x + 10 = 70

4x = 70 - 10

4x = 60

x = 15

length of rectangle = 18 cm

breadth of rectangle = 15 cm

Step-by-step explanation: