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The perimeter of a rectangle is 82m and ...

The perimeter of a rectangle is 82m and its area is `400m^2`. The breadth of the rectangle is: (a)25 m (b) 16 m (c)9 m (d)20 m

Text Solution

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Let length of rectangle is `l` and breadth is `b` in metres.
Perimeter of a rectangle `(P) = 2(l+b)`
`:. 2(l+b) =82`
`=>l+b = 41=>l=41-b->(1)`
Area of a rectangle `(A) = l**b `
`=>l**b = 400`
From (1),
`=>(41-b)b = 400`
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