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Let the length of the playground be l and breadth be b
Thus, lb=420
∴l= b 420 ......(1)
Length is increased by 7m and breadth is increased by 5m
∴(l+7)(b−5)=420
( b 420 +7)(b−5)=420.........From (1)
(420+7b)(b−5)=420b
420b+7b 2 −35b−2100=420b
7b 2 −35b−2100=0
b 2 −5b−300=0
b 2 −20b+15b−300=0
(b−20)(b+15)=0
b=20,−15
Taking only positive value of b
Thus, l=
420 /20
=21m
Hence, length =21m and breath =20m
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Answered by
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Step-by-step explanation:
length=21 breadth=20
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