Question

Perimeter of the rhombus is 100 m and its diagonal is 40m. Find the area of rhombus. (by heron's formula)

Answer 1

Step-by-step explanation:

p=4a

100=4a

a=25 m

area of rhombus abcd= ar(abc)+ar(adc)

ar(abc)=ar(adc)

ar(abc)=heron's formula

s= (a+b+c)/2

s= 100+100+40/2

=240/2

=120 m

ar=[120(120-100)(120-100)(120-40)]^1/2

=(120×20×20×80)^1/2

=(3840000)^1/2

=10×10×2×2×2×(6)^1/2

=800(6)^1/2

= 800 root6