Answer:
P=380 ft.
Explanation:
Area=length x width
Perimeter= 2*length + 2*width
Width= 4*length + 8
A=5472 ft²
5472= l * (4l +8) (plug in values)
5472 = 4l² +8l (simplify)
4l² + 8l - 5472 = 0 (subtract 5472)
4(l² + 2l -1368) = 0 (factor out a 4)
4(l +38)(l-36)=0 (factor)
l=36 ft. (-38 is extraneous because it is negative)
5472=38*w
w=152 ft.
P=2(38) + 2(152)
P= 380 ft.
