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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.

Respuesta :

Answer:

Area: 120m²

Flowers: 600kg

Step-by-step explanation:

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

Heron's formula:

Area of triangle = [tex]\sqrt{ s(s-a)(s-b)(s-c)}[/tex]

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

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

s = 30

Area of triangle

[tex]=\sqrt{30(30-10)(30-24)(30-26)} \\=120m^{2}[/tex]

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

the yield of flowers will be:

120 x 5

=600kg

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