Question

The side of a square plot is 80m. Two paths of width 4m intersect in the middle of the plot. Find the area of the paths​

Answer 1

Answer:

624 $m^{2}$

Step-by-step explanation:

Each of the paths have length = side of the square plot = 80m

Each of the paths have width = 4m

They intersect at the middle of the plot in the shape of a 4m by 4m square.

∴ Area of the paths = Twice the area of one path - Intersection area [ ∵ Intersection area is appearing twice, but in reality, it should be counted only once]

∴ Area of the paths = 2 x 80 x 4 $m^{2}$ - 4 x 4 $m^{2}$

= 640 $m^{2}$ - 16 $m^{2}$ = 624 $m^{2}$