The perimeter of the rhombus is 80 and one of the corners is 30 degrees. Find the area of the rhombus.

univerkov | September 11, 2021 | education

1) How long is the side of the rhombus?

The perimeter of the rhombus is P = 4 * a, then the side of the rhombus will be equal to a = P: 4, that is

80: 4 = 20.

2) What is the area of the rhombus?

S = a ^ 2 * sin ᵦ = 202 * sin 30˚ = 400 * (1/2) = 400: 2 = 200.

Answer: the area of the rhombus is 200.

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