SOLUTION: the perimeter of a non square rhombus is 20 cm. one of its diagonal is 8cm. the area os the rhombus is a) 20 sq cm b) 22 sq cm c) 24 sq cm d) 28 sq cm

Algebra ->  Parallelograms -> SOLUTION: the perimeter of a non square rhombus is 20 cm. one of its diagonal is 8cm. the area os the rhombus is a) 20 sq cm b) 22 sq cm c) 24 sq cm d) 28 sq cm      Log On


   



Question 921158: the perimeter of a non square rhombus is 20 cm. one of its diagonal is 8cm. the area os the rhombus is a) 20 sq cm b) 22 sq cm c) 24 sq cm d) 28 sq cm
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
perimeter (4s)= 20 cm
each side (s)= 20/4 =5 cm
diagonal = 8 cm
half of diagonal = 4 cm
half of other diagonal = sqrt(5^2 -4^2)
= sqrt(25-16)
=sqrt(9)
= 3 cm
full length of other diagonal = 6 cm
area = 0.5* diagonal 1 *diagonal 2
= 0.5*8*6
= 24 square centimeters