the perimeter of rectangle is 60 CM if its length is increased by 3 cm and its breadth decreased by 3 cm the area of rectangle is decreased by 21 CM square. Find its length and breadth of the rectangle
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Answer:
l=17cm, b=13 cm
Step-by-step explanation:
A/Q,
Let ,
l denote length, b breadth , A Area
Perimeter = 60cm
2(l+b)=60
A=l×b
l+b= 30 ------------(1)
length increased by 3cm and breadth decreased by 3cm
(l+3)×(b-3)=A-21
lb-3l+3b-9=A-21
lb-3l+3b-9=lb-21
3(-l+b-3)=-21
l-b= 4 ------(2)
on solving (1) and (2)
l=17cm
b=13cm
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