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Example 6: Sanya has a piece of land which is in the shape of a rhombus (see Fig. 12.13). She wants her one daughter and one son to work on the land and produce different crops. She divided the land in two equal parts. If the perimeter of the land is 400 m and one of the diagonals is 160 m, how much area each of them will get for their crops?
Prerequisite
For every question of this chapter, it will be good to learn about the derivation of Heron’s formula (also known as Hero’s formula). This tutorial is about the derivation of this formula from the other formula of the area of triangle = 1/2 * base * height. It is not a mandatory to learn this derivation to solve the questions based on this formula but is a good to know concept in case you are interested in concepts of mathematics.
Heron’s Formula
Chapter 12 – Heron’s Formula
