Given that the area is equal to twice the perimeter and the dimensions are: length=4x ft, width=(x+6) ft the perimeter will be: P=2(L+W) P=2(4x+(x+6)) P=2(4x+x+6) P=2(5x+6) P=(10x+12)
Area of the rectangle is: A=4x(x+6) A=4x²+24x but: 2P=A thus 2(10x+12)=4x²+24x 20x+24=4x²+24x thus 4x²+4x-24=0 x²+x-6=0 x²-2x+3x-6=0 x(x-2)+3(x-2)=0 (x-2)(x+3)=0 thus the answer is: x=-3 or x=2 thus length=4x=4*2=8 ft width=(x+6)=(2+6)=8 ft
A square rotated about its center by 360º maps onto itself at 4 different angles of rotation. You can reflect a square onto itself across 4 different lines of reflection.
