SOLUTION: A rhombus has a perimeter of 100 meters and a diagonal of 30 meters long. Find the area of the rhombus. please help me thank you. <3

Algebra ->  Surface-area -> SOLUTION: A rhombus has a perimeter of 100 meters and a diagonal of 30 meters long. Find the area of the rhombus. please help me thank you. <3      Log On


   

Question 134789: A rhombus has a perimeter of 100 meters and a diagonal of 30 meters long. Find the area of the rhombus.

please help me
thank you. <3
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
"A rhombus has a perimeter of 100 meters" __ this means each side is 100/4 or 25 m

the diagonals of a rhombus are perpendicular and they bisect each other

so a half of each diagonal and a side forms a right triangle, with the side as the hypotenuse

if the hypotenuse of a right triangle is 25 and one of the sides is 15, what is the other side?
__ HINT: 3-4-5

what is the area of this triangle (that is is one fourth of the rhombus)?
__ what is the area of the rhombus?