A rectangular plot has a concrete path running in the middle of the plot parallel to the parallel to...........

Quantitative Aptitude ( CCS) Mensuration 2D

A rectangular plot has a concrete path running in the middle of the plot parallel to the parallel to the breadth of the plot. The rest of the plot is used as a lawn ,which has an area of 240sq. m. If the width of the path is 3m and the length of the plot is greater than its breadth by 2m ,what is the area of the rectangular plot(in m )?

410m

288m

250m

300m

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Explanation:

Let width be x m
and length be (x+2)m
Area of path = 3x sq. m
x(x+2) – 3x = 240
=> x^2 – x – 240 = 0
=> x(x – 16) +15 (x – 16) = 0
=>(x – 16)(x + 15) = 0
=>x = 16
Length = 16 + 2 = 18m
Therefore ,
Area of plot = 16 * 18 = 288sq. m