Question

People of Khejadli village take good care of plants, trees and animals. They say that plants and animals can survive without us, but we can not survive without them. Inspired by her elders Amrita marked some land for her pets (camel and ox) and plants. Find the ratio of the areas kept for animals and plants to the living area.

Answer 1

We know that,

Area of rectangle = l × b and area of circle = πr²

From the given figure,

Area of total rectangular land = 15 m × 10 m = 150 m²

Area of land covered by plants = 9 m × 1 m = 9 m²

Area of land covered by camel = 5 m × 3 m = 15 m²

∴ Region of land covered by ox is circular area.

So, diameter, d = 2.8 m

∴ Radius = `d/2 = 2.8/2` = 1.4 m  ......`[∵ "Radius" = "Diameter"/2]`

∴ Area of land covered by ox = πr² = `22/7` × 1.4 × 1.4 = 6.16 m²

Total area covered by plants, camel and ox = 9 + 15 + 6.16 = 30.16 m²

Remaining land for living = Total area – Area covered by plants and animals

= (150 – 30.16) m²

= 119.84 m²

∴ Ratio of areas kept for animals and plants to the living area

= 30.16 : 11984

= 3016 : 11984

= 377 : 1498

The value depicted here is that, we should save our environment and balanced the environment.