Latest L&T Aptitude Question SOLUTION: A rectangular plot has a concrete path running inner side of the plot is used as a lawn, which has an area of 432 sq.m. If the width of the path is 4 m and the length of the plot i

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(#M40156511) L&T Numerical Ability question Keep an EYE

A rectangular plot has a concrete path running inner side of the plot is used as a lawn, which has an area of 432 sq.m. If the width of the path is 4 m and the length of the plot is greater than its breadth by 2m, what is the area of the rectangular plot?
1) 980 m^2
2) 975 m^2
3) 984 m^2
4) 960 m^2
5) 965 m^2

Asked In L&T ABHINAV PUSHPAM (7 years ago)

Unsolved Read Solution (3)

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Read Solution (3) :

Saurav Kumar  (7 years ago)

Let width of plot be 'b', length = b+2.
Then b(b+2) - (b-8)(b-6) = 432
Thus width = 30 m, length = 32 m and area = 960 sq.m

Is this solution Helpfull? Yes (1) | No (9)  

Shiva  (7 years ago)

Let the breadth of the rectangle plot be x m.

Given, width of the path = 4 m

Area of the path = 432 m^2

and length of rectangular plot = (x + 2) m

2 × [4x (x + 2) + 4x – 2 × 4 × 4] = 432 m^2

8 (x + 2 + x – 8) = 432 m2

8 (2x – 6) = 432

16 (x – 3) = 432  x = 30 m

Area of plot = x × (x + 2) = 30 × 32 = 960 m^2

Is this solution Helpfull? Yes | No (2)  

Ajay Dadaso Doltade  (5 years ago)

ans=960m^2

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