Question

The area of a rectanguler field is 10092 sq m. Its length is three time as long as its width . Find its perimeter

Answer 1

Let the width be x
if width =x
length =3x
area=10092
area=length x width
10092=3x x x
10092=3x²
10092/3=x²
3364=x²
√3364=√x²
x=58
width=58m
length=58x3
           =174m
perimeter =2(L+W)
                =2(174+58)
                =2 x 232
                =464m

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Answer 2

Heya !!!





Let breadth of rectangle be X m


Length of Rectangle = 3X m




Area of Rectangle = 10092





Length × Breadth = 10092



3X × X = 10092




3X² = 10092




X² = 10092/3




X² = 3364



X = ✓3364



X = 58 m




Breadth of Rectangle = X = 58 m



And,


Length of Rectangle = 3X = 3 × 58 = 174 m






Therefore,



Perimeter of Rectangle = 2(L+B)


=> 2( 174 + 58)



=> 2 × 232




=> 464 m.





HOPE IT WILL HELP YOU....,. :-)