The length equals 2 times the width. So let's say width=w Then length =2w. Perimeter is adding all the sides so 2 lengths and 2 widths. 24=2(2w) +2w. 24=4w+2w. 24=6w divide each side by 6 to get 4=w. If width is 4 then length is 4x2 or 8. Area is length x width son4x8 which makes the area 32