A square has perimeter 24. A rectangle has the same area as the square. If the width of the rectangle is 4 , what is the perimeter of the rectangle?
(A) 26
(B) 36
(C) 16
(D) 32
(E) 24
Since the square has perimeter 24 , then the side length of the square is $\frac{1}{4} \times 24=6$.

Since the square has side length 6 , then the area of the square is $6^{2}=36$.

Since the rectangle and the square have the same area, then the area of rectangle is 36 .

Since the rectangle has area 36 and width 4 , then the length of the rectangle is $\frac{36}{4}=9$.

Since the rectangle has width 4 and length 9 , then it has perimeter $4+9+4+9=26$.