Here a rectangle is divided into two right triangles. In right-angled triangles, the opposite side at a 30-degree angle is half a chord...I replace x instead of length.. So x / 2 = 4--->x:8
The perimeter of a rectangle is equal to (length + width) × 2--->(8+4)×2=24m^2
In all 30-60-90 triangles, the sides are in ratio , where is the side opposite to the 30 degree angle and is the hypotenuse of the triangle.
The rectangle shown forms two 30-60-90 triangles. The side labelled 4 meters is opposite to the 30 degree angle. Therefore, the side on top must be . Let the length of the top base be :
The area of a rectangle with length and width is given by . Thus, the area of the rectangle is: