. the length of a rectangle exceeds its breadth by 7cms. if the length is decreased by 4cm and the breadth is increased by 3cms, then the area of the new rectangle will be the same as the area of the original rectangle. what will be the perimeter of the original rectangle? (a) 45 cms.
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Let the breadth of the rectangle = x.
Then the length will be (x+7).
Given that length is decreased by 4cms and breadth is increased by 3cms.
x(x+7) = (x+7-4)(x+3)
x^2 + 7x = (x+3)(x+3)
x^2 + 7x = x^2 + 6x + 9
x = 9.
Then the length will be x + 7 = 9 + 7 = 16.
Length = 16cm and breadth = 9cm.
Perimeter = 2(l + b)
= 2(16 + 9)
= 50cm.
Hope this helps!
Then the length will be (x+7).
Given that length is decreased by 4cms and breadth is increased by 3cms.
x(x+7) = (x+7-4)(x+3)
x^2 + 7x = (x+3)(x+3)
x^2 + 7x = x^2 + 6x + 9
x = 9.
Then the length will be x + 7 = 9 + 7 = 16.
Length = 16cm and breadth = 9cm.
Perimeter = 2(l + b)
= 2(16 + 9)
= 50cm.
Hope this helps!
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