One diagonal of a rhombus is half the other. If the length of the side of the rhombus is 10 cm, what is the
area of the rhombus?
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Answer:
The side of the rhombus = 10 cm.
Let one diagonal be = 2x
The other diagonal = 4x
x^2 + (2x)^2 = 10^2, or
x^2+4x^2 = 5x^2 = 100, or
x^2 = 100/5 = 20
x = 20^0.5 = 4.472135955
So the diagonals are 2*4.472135955 = 8.94427191 cm and 17.88854382 cm
The area of the rhombus = 8.94427191 * 17.88854382/2= 80 sq cm.
Explanation:
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