Question

A farmer has a field in the shape of a rhombus. The perimeter of
the field is 400m and one of its diagonal is 120m. He wants to divide the field into two
Example 7.3
equal parts to grow two different types of vegetables. Find the area of the field​

Answer 1

Answer:

Step-by-step explanation:

Find the length:

Perimeter = 4 x Length

4 x Length = 400

Length = 400 ÷ 4 = 100 m

Find half of the other diagonal:

a² + b² = c²

a² + (120 ÷ 2)² = 100²

a² + 60² = 100²

a² = 100² - 80²

a² = 3600

a = √3600

a = 60 m