The length of a rectangle is twice the width. The area is 338 yd. Find the length and the width.

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.