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# The perimeter of a rectangular field is 480 meters and the ratio between the length and breadth is 5:3. The area of the field is

( A ) 13500
( B ) 14500
( C ) 11500
( D ) 12500

\begin{align*}\text{Let the length} & = 5x \\ breadth & = 3x \\ Perimeter & = 2(l + b) \\ 2(5x + 3x) &= 480 \\ 2(8x)& = 480 \\ 8x & = \frac{480}{2} \\ 8x &= 240 \\ x& = \frac{240}{8} \\ x& = 30 \end{align*}
$\implies length = 5 \times 30 = 150$
$breadth = 3 \times 30 = 90$
\begin{align*} Area & = 150 \times 90 \\ & = 13500m^2\end{align*}