A play ground is in the shape of rectangle. the length of rectangle is three times its breadth and its area is 1728 sq.mts. find the of the rectangle .
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Let breadth of the rec. be x m.
Then, length=3x m
Therefore,
area of rec.= length×breadth
=>1728 =3x×x sq.m [given area of rec =1728 m]
=>1728 =3x^2
=>3x=1728
=>x=![\sqrt[3]{1728}](https://tex.z-dn.net/?f=+%5Csqrt%5B3%5D%7B1728%7D+ "\sqrt[3]{1728}")
=>x=12m
Hence length =12×3=36m and breadth =12m
Then, length=3x m
Therefore,
area of rec.= length×breadth
=>1728 =3x×x sq.m [given area of rec =1728 m]
=>1728 =3x^2
=>3x=1728
=>x=
=>x=12m
Hence length =12×3=36m and breadth =12m
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