Answer:
54.6 cm : B
Step-by-step explanation:
Mathematically the area of a rectangle is 2( l + b)
So in practical terms we only need the measure of two sides as we have 2 equal sides for a rectangle.
We can see that we have two right angles on each sides
Now to find b, we can use trigonometric ratios
For each of the rectangles, the diagonal represents the hypotenuse
Mathematically;
sin 30 = b/20
From triangle ABC
b = 20 sin 30 = 20 * 0.5 = 10 cm
Now, to get l
Mathematically;
Sin 60 = l/20
l = 20 sin 60 = 17.32 cm
So the perimeter is;
2(10 + 17.32)
2(27.32) = 54.64 cm which is 54.6 to the nearest tenth
Answer:
42.64°
Step-by-step explanation:
Note: A rhombus has all its sides equal, its opposite angle are equal, its has bigger and smaller diagonal, diagonal bisect the angles and diagonal bisect each other.
From the diagram attached,
sinθ = opposite/adjacent
sinθ = 4/11
θ = sin⁻¹(4/11)
θ = 21.32
Therefore, from the diagram,
The smaller angle of the rhombus = 2θ
The smaller angle of the rhombus = (2×21.32)
The smaller angle of the rhombus = 42.64°
