Question

If the length of a rectangle is is
de preased by 2 metrees and the
breadth increased by a metals the
area would increase 8 square metres
If the length is decreased by 3 3.
metres and the breadth decreased
by / I metre, the area would
decrease ky 27 square metries.
what are
the length and
breadth ?​

Answer 1

Answer:

ANSWER

Let the length of the rectangle be x metres and the breadth be y metres.

Area of the rectangle=length×breadth

=x×y=xy sq. metres

From the given information, we have,

(x+3)×(y−4)=xy−67and(x−1)×(y+4)=xy+89(x+3)×(y−4)=xy−67=>xy−4x+3y−12=xy−67=>4x−3y=55=>4x=3y+55....(i)Also,(x−1)×(y+4)=xy+89=>xy+4x−y−4=xy+89=>4x−y=93....(ii)

Substituting equation (i) in equation (ii), we get,

4x−y=93=>3y+55−y=93=>2y=38=>y=19

Substituting y=19 in equation (i), we get,

4x=3y+55=>4x=3(19)+55

=>4x=112=>x=28

Therefore, length of rectangle =x=28 metres

breadth of rectangle =y=19 metres

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