Perimeter = 2(Length + Width) | This is the formula for perimeter. 102 = 2(3m + m) | Substituting the length and width values. 102 = 2(4m) | Combining like terms. 102 = 8m | Distributing 2. 8m = 102 | Swapping LHS and RHS. m = 12.75 | Dividing by 8 on both sides. The result is m = 12.75 ft.
The angle drawn within a semicircle forms a right angle.
According to the inscribed angle theorem, the angle θ that is inscribed in a circle is half of the measure of the central angle. Thus, in a semicircle, the inscribed angle is half of 180 degrees, resulting in 90 degrees, which is a right angle. <span />