Question

(5)
If the length of a rectangle is increased by 5 metres and the breadth
decreased by 3 metres, the area would decrease by 5 square metres.
If the length is increased by 3 metres and breadth increased by 2 metres,
the area would increase by 50 square metres. What are the length and
breadth?​

Answer 1

Answer:

Let length be

′

a

′

m

breadth be

′

b

′

m

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