The width is 13 and the length is 26.
Explanation:
Area of rectangle = length x width
Let x be the width of the rectangle and 2x be the length of the rectangle.
2x * x= 338
2x² = 338
x² = 338/2
x² = 169
x² - 169 = 0
(x)² - (13)² = 0
(x-13)(x+13) = 0
x - 13 = 0 or x + 13 = 0
x = 13 or -13
-13 is rejected, as length or width cannot be negative.
Ans:The width is 13 and the length is 2 x 13 = 26.
