Question

The perimeter of the rhombus is 260m and one of its diagonal is 66m find The area off the rhombus and it other diagonal

Answer 1

Rhombus each side is equal
So ,
One side =260÷4=>65cm

One diagonal is 66cm
So,
Half of diagonal=66÷2=>33cm

Using Pythagoras theorem we can find its another diagonal
Let another half diagonal be 'x'

65²=x²+33²
65²-33²=x²
56cm=x

Another diagonal=2×56=>112cm



Area of rhombus=1/2×product of diagonal
=1/2×112×66
=3696cm²

Answer 2

Answer:

4a = 260, a = 65

a = 65, b = 65 and c =66,

S= 98cm

S-a = 33

S-b = 33,

S-c = 32

Area by heros formula of a triangle

= 1848 cm

AREA OF RHOMBUS  =

1848+1848 =3696