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

$\boxed {\bf{\colorbox {pink} {solution :--}}}$

$<b>$ Length of the plot given = 100m

And bredth = 80m

Total area of plot = (L ×B)
==> 80×100
==> 800m^2

♦️️ Length of the first and second path are 100 and 80m respectively.

♦️And width = 5

Area of the first path ⤵️
==> 80 × 5
==> 400m^2

Area of second path ⤵️
==> 100 × 5
==> 500 m^2

Area of the center part -
==> 5 × 5
==> 25m^2

Both paths - center part

==>900 - 25
==>875m^2 ✔️✔️

Answer 2

Answer:

Figure in attachment .

Area of rectangle = length × breadth .

There are 4 small rectangles formed in the figure .

The area of the bigger rectangle can be calculated.

Then we will calculate the area of small rectangles .

Then subtract the value .

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:

The area of the rectangles is multiplied by 4 since there are 4 rectangles of equal area .

Also the length = ( 80 m - 5 m )/2 = 75/2 m

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