Question

5 A field is in the shape of a rhombus of side
30 m. Length of its one diagonal is 48 m.Find the area of the field using Heron's
formula​

Answer 1

Answer:

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Answer 2

Answer:

144 cm^2

Step-by-step explanation:

s=30+30+48/2

s=108/2

s=54

$area=\sqrt{s(s-a)(s-b)(s-c)}$ (of one triangle of rhombus divided by diagonal)

area=$\sqrt{54(54-30)(54-30)(54-48)$

area=$\sqrt{54*24*24*6}$

area=$\sqrt{2*3*3*3*3*2*2*2*2*3*3*2*2*2}$(breaking down)

area= 2*2*2*3*3*3

area= 8*9=72cm^2

area of rhombus= area of triangle *2

area of rhombus= 72*2= 144 cm^2