Question

solve the question no. 2 with all the steps according to perimeter and area

Answer 1

Answer:

1550 m^2 (if path is inside the garden) or 1750 m^2 (if the path is outside the garden)

Step-by-step explanation:

If the path is to be built inside the garden, it results in the formation of another rectangle within the rectangular garden.

The dimensions of the outer rectangle are 90 m and 75 m.

Dimensions of inner rectangle = 90 - (5+5), 75 - (5+5) = 80 m and 65 m.

Hence, area of path = Area of outer rectangle - Area of inner rectangle = 90 × 75 - 80 × 65 = 6750 - 5200 = 1550m^2

If the path is to be built outside the garden, the garden becomes the inner rectangle.

Hence, dimensions of outer rectangle = 90 + (5+5), 75 + (5+5) = 100m and 85m

Area of path in this case = 100 × 85 - 90 × 75 = 8500 - 6750 = 1750 m^2

Answer 2

Length, L = 90m
Breadth,B = 75m
Area of the rectangular garden = L × B
= 90 × 75
$= 6750 \: {m}^{2}$
As the path is 5 metre wide then the new length and th Breadth will be "95m" and "80m"

Area of the path + rectangular garden = L × B
= 95 × 80
$= 7600 \: {m}^{2}$
Now the area of path = ar.(Path + rectangular garden) + ar. (rectangular garden)
$= 7600 - 6750$
$= 850 \: {m}^{2}$

.... Hope you got it....