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Answer:
Perimeter of the rectangle=70cm
Length of the rectangle=xcm
We know,
Perimeter of the rectangle=2(length+breadth)
=>70=2(x+breadth)
=>
2
70
=x+breadth
=>x+breadth=35
=>breadth=35−x
Given,area of rectangular board=30cm
2
=>length+breadth=300
=>x(35−x)=300
=>−x
2
+35x−300=0
=>x
2
−35x+300=0
=>x
2
−20x−15x+300=0
=>x(x−20)−15(x−20)=0
=>(x−20)(x−15)=0
∴x−20=0 or x−15=0
=>x=20 or x=15
∴35−x=35−20 or ∴35−x=35−15
=15 or =20 ki
∴Dimensions are 15 and 20cm
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