Sita ram has agriculture land in the form of given shapes. He want to distribute equally his land
among his two son Ramesh and Ram . Ramesh has got 1
st
triangular land . Ram has got 2nd
triangular land.
(i) Ramesh got how much land?
(ii) Ram got how much land?
(iii) Who got less land ? how much land he will occupy more from rectangular field then they will get
equal land?
Answers
Answer:
sita ram has agriculture land in the
Answer:
1. Ramesh got 84m² of land, 2. Ram got 30m² of land, 3. Ram got less land , to make equal lands 54m² more area of land is to be occupied from rectangular field.
Step-by-step explanation:
Given: three lands - 2 triangular and one rectangular.
Sita ram distributes the lands among his two sons - Ram and Ramesh equally.
first trianglular land for Ramesh with sides-13m,14m,15m.
second trianglular land for Ram with sides- 12m,5m.
rectanglular land with area 160m²².
To find:
1. how much area Ramesh got?
2.how much area Ram got?
3.who got less land and how much more he should get from rectangular area?
Solution:
1. the first triangle is of scalene triangle ( all sides are different measure)
to find the area we use Heron's formula .
Area of triangle = ,s, semiperimeter=( a+b+c)/2
a,b,care the sides.
here a=13m, b= 15m, c= 14m.
s= (13+14+15)/2 = 42/2 = 21m
area of first triangular land =
=
=
= 84m².
The area of land Ramesh got =84m².
2. second triangle is a right angled triangle.
the area of second triangular land = 1/2 ×base ×height
=1/2×5×12
= 5×6
= 30m².
The area of land Ram got = 30m².
3. Ram got less land .
Area of rectangular land=160m².
So to get equal land for Ramesh and Ram, 84-30=54m² of more land is to be taken from rectangular land.
Therefore, in order to get equal land, 54m² of more land is to be occupied from rectangular land.
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