The perimeter of a rhombus is 40 cm if one of its diagonal is 12 cm find the area of the rhombus
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Answer:
Area is 96 square cm
Step-by-step explanation:
A rhombus has 4 edges of equal length. If it has perimeter of 40cm, then each length would be 40/4=10 cm
Divide the rhombus into 4 right-angle triangle by cutting along the 2 diagonals.
Each right-angle triangle will have a hypotenuse of 10cm and one other edge with length 12/2=6cm
Use Pythagoras Theorem to find the length of the remaining edge
Thus 100-36=64 and 64 sqrt= 8cm
Area of one triangle=1/2*6*8=24 sq. cm
area of 4 triangles=area of rhombus=24*4=96cm sq which is the answer
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