Question

3) If the breadth of the rectangle is increased by 3 cm and the length is reduced by 2 cm, its area

will be increased by 20 sq cm. If the breadth is reduced by 2 cm and the length is increased by

1 cm the area would be reduced by 24 sq cm. Find the length and the breadth of the rectangle.
b=14,l=18cm​

Answer 1

Let length be x and breadth be y

then area a =xy

given

$(x - 2) \times (y + 3) = a + 20$

$xy - 2y + 3x - 6 = a + 20$

$a - 2y + 3x - 6 = a + 20$

$3x - 2y = 26 \: \: \: \: \: \: \: \: \: (1)$

Also given

$(x + 1)(y - 2) = a - 24$

$xy - 2x + y - 2 = a - 24$

$- 2x + y = - 22 \: \: \: \: \: \: \: \: \: (2)$

solving (1) and (2) we get

length = 18

breadth =14

Answer 2

Answer:

b=

Step-by-step explanation:

b=14 l=18

hope u will understand