Suman has a piece of land, which is in the shape of a rhombus. She wants her two sons to work on the land and produce different crops. She divides the land in two equal parts by drawing a diagonal. If its perimeter is 400 m and one of the diagonals is of length 120 m, how much area each of them will get for his crops ?
Answers
Answered by
5
QUESTION:
- Suman has a piece of land, which is in the shape of a rhombus. She wants her two sons to work on the land and produce different crops. She divides the land in two equal parts by drawing a diagonal. If its perimeter is 400 m and one of the diagonals is of length 120 m, how much area each of them will get for his crops ?
ANSWER:
4800m^2
EXPLANATION:
- We find it using the HERON'S FORMULA
- Since perimeter of Rhombus = 400 m
- each side = 100 m
- Using Pythagoras theorem
AO^2 = 100^2 - 80^2
AO^2= 10000-6400
AO^2 = 3600
AO = 60 M
AC = 2(AO) =120
Area of Rhombus = 1/2 * Product of diagonals
= 1/2 * 160 * 120 = 9600 m^2
The area that each of the children get
= 9600/2
= 4800 m^2
Similar questions