Problema Solution
The length of a rectangle exceeds its breath by 9 cm. Its length and breadth are each increased by 3 cm, the area of the new rectangle will be 84 cm^2 more than that of the given rectangle. Find the length and breadth of the given rectangle.
Answer provided by our tutors
Let
x = the breath
x + 9 = the length
The area is:
A1 = x(x + 9)
Length and breadth are each increased by 3 cm mean the new breath and length are:
x + 3 = the breath
x + 9 + 3 = x + 12 = the length
The area of the new rectangle is:
A2 = (x + 2)(x + 12)
The area of the new rectangle will be 84 cm^2 more than that of the given rectangle means:
A2 = A1 + 84
(x + 2)(x + 12) = x(x + 9) + 84
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click here to see the equation solved for x
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x = 12 cm
12 + 9 = 21 cm
The length of the given rectangle is 21 while the breadth is 12 cm.