Question

the perimeter of rhombus is 52m . if the length of one of the diagonal is 24m . what is the area of rhombus ?

Answer 1

Answer:

1/2 × diagonal 1 × diagonal 2

1/2 × 24 ×24

12 ×24

288 m²

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Answer 2

Answer:

120 sq. cm

Step-by-step explanation:

perimeter=4s

52=4s

s=52/4=13cm.  

as diagonal divides rhombus into 2 triangles, we will use Heron's formula

√s(s-a)(s-b)(s-c)

s=(a+b+c)/2

a=side1,b=side2, c=side3

s=(13+13+24)/2

 =50/2

=25

√s(s-a)(s-b)(s-c)

√25(25-24)(25-13)(25-13)

=√25*1*12*12

=√5²*12²

=5*12

=60

as 2 triangles are formed,

area of rhombus= 2*60

  =120 sq. cm