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Answer:
let
length=x
width=y
perimeter=2(l+b)=2(x+y)=70
(x+y)=35
y=35-x ......(i) [width in terms of length]
x*y=300
y=300/x ......(ii)
from (i) nd (ii) we get,
35-x=300/x
35x-x^2-300=0
x^2-35x+300=0
x^2-15x-20x+300=0
x(x-15)-20(x-15)=0
(x-15)(x-20)=0
x=15
x=20
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Answered by
1
Step-by-step explanation:
given: L=x cm
2×(L+B)=70
L+B=35
x+B=35
B=35-x
now,
area of a rectangle =L×B=300cm²
=>(x)×(35-x)=300
=>35x-x²=300
=> x²-35x+300=0
=>x²-20x-15x+300=0
=>x(x-20)-15(x-20)=0
=>(x-20)(x-15)=0
=>x=20 , 15
therefore,
if L=x=20cm ,then B=35-×=15cm
& if,L=×=15cm, thenB=35-×=20cm
_______________________________________________
HOPE THIS HELPS
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