Question

71. A rectangular plot is 120m by 70m and it has a uniform path of 2.5m wide all around it
inside. What is the area of the path?
A. 925m?
B. 825m? C.725m2
D.1025m?​

Answer 1

[ TEX] ANSWER [ /TEX]

Step-by-step explanation:

This is a classic question of area of closed regular figures, in this case a rectangle. The simple logic behind this will be that the area of the path will be area of the smaller rectangle (the rectangle enclosed by the path) subtracted from the area of the bigger rectangle (the plot).

The area of the plot = l × b = 112 × 78 = 8736 m²

Now, before finding the area of the smaller rectangle, we need its dimensions.

Since the gravel path is 2.5 m wide on all sides inside the plot, the length and breadth of the plot will decrease. Infact they'll decrease by 5 m because there's a decrement of 2.5 m from each side of both.

The dimensions of the smaller rectangle then become l = 112 - 5 = 107 m and b = 78 - 5 = 73 m.

So its area = 107 × 73 = 7811 m²

Finally, the area of the path = 8736 - 7811 = 925 m²