Question

1. If in a rectangle, the length is increased and breadth reduced each by 2 units, the area is reduced by 28 square units. If, however the length is reduced by 1 unit and the breadth increased by 2 units, the area increases by 33 square units. Find the area of the rectangle.
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Answer 1

Answer:

PLS MARK BRAINLIEST

Step-by-step explanation:

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

Area of the rectangle=length×breadth

=x×y=xy sq. units

From the given information, we have,

(x+2)×(y−2)=xy−28and(x−1)×(y+2)=xy+33(x+2)×(y−2)=xy−28=>xy−2x+2y−4=xy−28=>−2x+2y=−24=>−x+y=−12=>x=y+12....(i)Also,(x−1)×(y+2)=xy+33=>xy+2x−y−2=xy+33=>2x−y=35....(ii)

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

2x−y=35=>2(y+12)−y=35=>2y+24−y=35=>y=11

Substituting y=11 in equation (i), we get,

x=y+12=>x=11+12=>x=23

Therefore, length of rectangle =x=23 units

and breadth of rectangle