Question

the length of diagonal of a rectangular land is 15 mts and the difference of length and breadth is 3 m . calculate the perimeter​

Answer 1

Answer:

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Answer 2

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
solution