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.
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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
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