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?
Answers
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1
Answer:
length = 10m
breadth = 8m
Step-by-step explanation:
Let the length be x and breadth be y, then
area of rectangle = xy
Case 1:
new length=(x+5)m
new breadth=(y-3)m
so, new area = (x+5)(y-3)m²
=xy +5y -3x -15 ....(i)
acc to q,
new area = (xy -5)m²
so, from (i)
xy -5=xy+5y-3x-15
5y-3x=10.... (ii)
Case 2:
new length=(x+3)m
new breadth=(y+2)m
so, new area=(x+3)(y+2)m²
=xy+6+3y+2x....(iii)
acc to q,
new area =(xy +50)m²
so, from (iii)
xy+50 = xy +6+3y+2x
2x + 3y=44... (iv)
on multiplying (ii) with 2 and (iv) with 3 and adding them we get
y=8m
x=10m
Hope this helps
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