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Hi ,
Let a , b , c are three sides of the triangular
field ,
a : b : c = 5 : 12 : 13
a = 5x m
b = 12x m
c = 13x m
Perimeter ( P ) = a + b + c
= 5x + 12x + 13x
= 30x --( 1 )
Cost of 1 m fencing = Rs 25
Cost of fencing Perimeter = Rs 2250
i.e ,
30x × Rs 25 = Rs 2250
x = 2250/( 30 × 25 )
x = 3
Therefore ,
a = 5x = 5 × 3 = 15 m
b = 36 m
c = 39 m
We know that ,
15 , 36 , 39 are Pythagorean triplet.
Area of the triangle = ( ab )/2
= ( 15 × 36 )/2
= 15 × 18
= 270 square metres.
Option ( 1 ) is correct.
I hope this helps you.
: )
Let a , b , c are three sides of the triangular
field ,
a : b : c = 5 : 12 : 13
a = 5x m
b = 12x m
c = 13x m
Perimeter ( P ) = a + b + c
= 5x + 12x + 13x
= 30x --( 1 )
Cost of 1 m fencing = Rs 25
Cost of fencing Perimeter = Rs 2250
i.e ,
30x × Rs 25 = Rs 2250
x = 2250/( 30 × 25 )
x = 3
Therefore ,
a = 5x = 5 × 3 = 15 m
b = 36 m
c = 39 m
We know that ,
15 , 36 , 39 are Pythagorean triplet.
Area of the triangle = ( ab )/2
= ( 15 × 36 )/2
= 15 × 18
= 270 square metres.
Option ( 1 ) is correct.
I hope this helps you.
: )
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