1.

In the centre of a rectangular plot of land of dimensions 120 m × 100 m, a rectangular portion is to be covered with trees so that the area of the remaining part of the plot is 10500 m2. Find the dimensions of the area to be planted. Which social act is being discussed here? Give its advantages.

Answer»

Let the width of the unplanted area be x m
Then, dimensions of area to be planted 

= (120 – 2x) and (100 – 2x)
= (120 – 2x) (100 – 2x) = 120 × 100 – 10500
⇒ 12000 – 440x + 4x2 = 1500 or x2 – 110x + 2625 = 0
⇒ (x – 75)(x – 35) = 0 or x = 75, 35

But x = 75 is not possible
x = 35

Thus, dimensions of area to be planted = (120 – 70) and (100 – 70) i.e., 50 m and 30 m.Afforestation is being discussed here. Planting more trees helps in reducing air pollution and make the environment clean and green.


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