Question

If the length of a rectangle as is
decreased by 2 metres and the
breadth increased by a metals the
area would increase 8 square mete
If the length is decreased
by 3
metres and the breadth decreased
by / metre, the area would
decrease ky 27 square metres
what are
the length and
breadth?​

Answer 1

Answer:

Area of rectangle = l ∗b

Length is increase by 20%

∴ New Length = 1.2∗l

Breadth is decreased by 20%.

∴ New breadth = 0.8∗b

New Area = 1.2l∗0.8b

=0.96lb

Decrease in Area =

OriginalArea

OriginalArea−NewArea

=

lb

lb−0.96lb

= =0.04 = 4%.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

HEY MATE ..

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−67

and(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

=>x=28Therefore, length of rectangle =x=28 metres

breadth of rectangle =y=19 metres

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