Question

The length of sides of triangular fields are 10m, 24m and 26m. A farmer grows flowers in this field. If 5kg flowers can be obtained in 1 Sq metre area, then find the area of field and quantity of flowers that can be grown.

Answer 1

Area: 120m²

Flowers: 600kg

Explanation:

we can use Heron's formula to solve for the area.

Heron's formula:

Area of triangle =
`√( s(s-a)(s-b)(s-c))`

s = 1/2 (a+b+c)

s = 1/2 (10 +24+26)

s = 30

Area of triangle

`=√(30(30-10)(30-24)(30-26)) \\=120m^(2)`

Since every 1 m² of area can grow 5kg of flowers,

the yield of flowers will be:

120 x 5

=600kg