Question

if the length of a rectangle is increased by 5m and breadth decreased by 3m the area decreased by 5square meter. if length is decreased by 3m and breadth increased by 2m the area increased by 50square meter. What are length and breadth?

Answer 1

Step-by-step explanation:

Let length be 'a'meter

and breadth be 'b'meter

area 'ab'm^2

(a+5)(b−3)=ab−5

⇒ab+5b−3a−15=ab−5

⇒5b−3a=10−(1)

(a+3)(b+2)=ab+50

⇒ab+6+3b+2a=ab+50

⇒3b+2a=144−(2)

solving equation (1) and (2)

19b=152

⇒b=

19

152

=8

5×8−3a=10⇒3a=40−10=30

⇒3a=30⇒a=10