A rectangular plot 55 m long and 45 m broad, has two concrete crossroads (of equal width) running in the middle of it. One parallel to the length and the other parallel to the breadth. The rest of the plot is used as lawn. If the area of the lawn is 1911 m2, what is the width of each of the crossroads? (in m)
- 6
- 8
- 10
- 2
- 11
- Explanation:
Let the width of path be x metre.
According to question,
55×45-[55×x+45×x-x2] = 1911
2475-100x+x2=1911
x2-100x+564=0
x2-94x-6x+564=0
x(x-94)-6(x-94)=0
x=6
x≠94
Hence, the width of path = 6m