Math, asked by jaswanth12324, 6 months ago

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Answered by mahathivelu
1

Answer:

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−28

and(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 =y=11 units

Area of rectangle =xy=23×11=253 square units

Hope it helps!!!

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