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The area of a rectangular plot is $528\ m^2$. The length of the plot (in meters) is one meter more than twice its breadth. Find the length and the breadth of the plot.
The area of a rectangular plot$=528\ m^2$.
The length of the plot (in meters) is one meter more than twice its breadth.
We have to find the length and breadth of the plot.
Let the breadth of the plot be $x\ m$.
Length of the plot$=2x+1\ m$.
We know that,
Area of a rectangle of length $l$ and breadth $b$ is $lb$.
Area of the rectangular plot$=(x)(2x+1)\ m^2$.
According to the question,
$x(2x+1)=528$ (From equation 1)
Solving for $x$ by factorization method, we get,
$2x+33=0$ or $x-32=0$
$2x=-33$ or $x=32$
Length cannot be negative. Therefore, the value of $x=32$.
The breadth of the plot is $32\ m$ and the length of the plot is $65\ m$.
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