Question

The length of diagonal of a rectangular land is 15 meter and the difference of length and breadth is 3 meter.Calculate the perimeter and the area.​

Answer 1

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Asked on December 26, 2019 by

Dharan Shelke

The length of a diagonal of a rectangular land is 15 meter and the difference of length breadth is 3 meter. Let us calculate perimeter and area.

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ANSWER

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