If the perimeter of the rectangular garden is 1200 meters and the ratio of width to length is 3:5, then its length in meters will be -
1) 325
2) 350
3) 375
4) None of these
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Let the length and width of the rectangular garden are l and w respectively.
Then by the given question, l/w=3/5
or, l=3w/5
Perimeter of the garden= 2(l+w)=1200
or, l+w=600
or, 3w/5+w=600
or, (3w+5w)/5=600
or, 8w=600*5
or, w=3000/8=375metres
Then, l=3*375/5=3*75=225 metres
Then by the given question, l/w=3/5
or, l=3w/5
Perimeter of the garden= 2(l+w)=1200
or, l+w=600
or, 3w/5+w=600
or, (3w+5w)/5=600
or, 8w=600*5
or, w=3000/8=375metres
Then, l=3*375/5=3*75=225 metres
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