Answer:
B. 25√3
Step-by-step explanation:
Use trigonometric ratio formula to find the length and width of the rectangle
Thus:
✔️Length of diagonal:
Reference angle = 30°
Hypotenuse = 10
Let length of rectangle = x = adjacent side
Therefore:
Cos 30° = x/10
10*cos 30 = x
10*√3/2 = x (cos 30 = √3/2)
5√3 = x
x = length of rectangle = 5√3
✔️Width of diagonal:
Reference angle = 30°
Hypotenuse = 10
Let width of rectangle = y = opposite side
Therefore:
Sin 30° = y/10
10*sin 30 = y
10*½ = y (sin 30 = 1/2)
5 = y
y = width of rectangle = 5
✔️Area of rectangle = length * width = 5√3 * 5 = 25√3
