A square and a rhombus have the same base. Of the rhombus is inclined at 30 degree, then what is the ratio of the area of square and area of rhombus
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# Answer- 2
# Explaination-
In the figure, Consider a square and rhombus each with side length s
For square,
Area of square = s^2
For rhombus,
sin 30 = length of opposite side / length of hypotenuse
length of opposite side = sin 30 × length of hypotenuse
length of opposite side = 0.5×s
Area of rhombus = base × height
Area of rhombus = 0.5 s^2
Area of square/area of rhombus = s^2 / 0.5s^2
Area of square/area of rhombus = 2
Ratio of Area of square to area of rhombus is 2.
# Answer- 2
# Explaination-
In the figure, Consider a square and rhombus each with side length s
For square,
Area of square = s^2
For rhombus,
sin 30 = length of opposite side / length of hypotenuse
length of opposite side = sin 30 × length of hypotenuse
length of opposite side = 0.5×s
Area of rhombus = base × height
Area of rhombus = 0.5 s^2
Area of square/area of rhombus = s^2 / 0.5s^2
Area of square/area of rhombus = 2
Ratio of Area of square to area of rhombus is 2.
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