The length of a rectangular field is 30m and its diagonal is 34m ..find its breadth
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Answer:
It is given that,
Length of a rectangular field = 30 m.
Diagonal of a rectangular field = 34 m.
Consider the breadth of rectangular field = b m.
Using the Pythagoras theorem,
AC
2
=AB
2
+BC
2
Substituting the values,
34
2
=30
2
+b
2
By further calculation,
1156=900+b
2
So we get
b
2
=1156–900=256
b=
256
=16 m
We know that,
Perimeter = 2(l+b)
Substituting the values,
=2(30+16)
=2∗46
=92 m.
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