Question

The answer to the question is that the angle of a rectangular land is 15 meters in length and the distance between the length and width is 3 meters. Determining the extent and area of ​​the land.​

Answer 1

Let length =x

and breadth =y

⇒x−y=3

x=y+3

Nowx

2

+y

2

=225⇒(y+3)

2

+y

2

=225

⇒y

2

+9+6y+y

2

=225⇒2y

2

+6y+9−225=0

2y

2

+6y−216=0

y

2

+3y−108=0

y=

2

−3±

9+4×108

=

2

−3±

441

=

2

−3±21

y=

2

−3−21

=

2

−24

:y=

2

−3+21

=

2

18

=9

=−12

∴y=9 and x=12

∴area=xy=12×9=108m

2

Perimeter=2(x+y)=2(9+12)=2×21=42m

$Let length =x</h3><h3></h3><h3>and breadth =y</h3><h3></h3><h3>⇒x−y=3x=y+3</h3><h3></h3><h3>Nowx2+y2=225⇒(y+3)2+y2=225⇒y2+9+6y+y2=225⇒2y2+6y+9−225=02y2+6y−216=0y2+3y−108=0</h3><h3></h3><h3>y=2−3±9+4×108=2−3±441=2−3±21y=2−3−21=2−24:y=2−3+21=218=9=−12</h3><h3></h3><h3>∴y=9 and x=12</h3><h3></h3><h3>∴area=xy=12×9=108m2Perimeter=2(x+y)=2(9+12)=2×21=42m</h3><h3></h3><h3>$

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Answer By shreyas