Question

a grassy plot is, 100m×80 two cross paths of 5m width is constructed at right angle through the center of the field and parallel to the sides of the plot. Find the total area used as path. ​

Answer 1

Answer:

Refer to the attachment first .

The only formula involved here is :-

Area of rectangle = length × breadth .

Find the area of the small rectangles and then subtract from the bigger rectangle .

Area of the path = Area of the bigger rectangle - area of small rectangles

⇒ Area of the path = ( 100 m × 80 m ) - 4 × ( 75/2 m × 95/2 m )

⇒ 8000 m² - 4 × ( 7125 m² ) / 4

⇒ 8000 m² - 7125 m²

⇒ 875 m²

∴ Area = 875 m²

Step-by-step explanation:

Note that since the width of the path is uniform , then the length an breadth of each rectangle is the same .

We can divide them by 2 after subtracting the rest part to get the length and breadth of small rectangles .

Length = ( 80 m - 5 m )/2 = 75/2 m

Breadth = ( 100 m - 5 m )/2 = 95/2 m

Answer 2

Solution :

The formula used and well aquinted with us :-

Area of Rectangle = ( L × B )

Here ,

Area of the path = Area of the large rectangle - Area of small rectangles.

➨ (100 m × 80 m ) - 4 × (75/2 m × 95/2 m)

➨ 8000 m² - 4 × (7125 m²)/4

➨ 8000 m² - 7125 m²

➨ 875 m²

Hence ,

Area = 875 m²