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 cannot 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 x b

area of circle $=\pi r^2$
From the given figure,
Area of total rectangular land $=15m\times 10m=150m^2$
Area of land covered by plants $=9m\times 1m=9m^2$
Area of land covered by camel $=5m\times 3m=15m^2$
The region of land covered by Ox is circular area.
So, diameter, d = 2.8 m (given)

$\therefore$ Radius $=\frac{d}{2}=\frac{2.8}{2}=1.4m[\because radius=\frac{diameter}{2}]$
$\therefore$ Area of land covered by Ox $=\pi r^2=\frac{22}{7}\times 1.4\times 1.4=6.16m^2$
Total area covered by plants, camel and ox = 9 + 15 + 6.16 = 30.16 $m^2$
Remaining land for living = Total area - area covered by plants and animals
$=(150-30.16)m^2=119.84m^2$
$\therefore$ Ratio of areas kept for animals and plants to the living area
=30.16 : 119.84 = 3016 : 11984 = 377 : 1498