Answer:
The width = 16 yards and the length = 25 yards.
Step-by-step explanation:
Let x yards be the original width, then the original length is 2x - 7 yards.
Therefore the original area = x(2x - 7) yd^2.
The new area = (2x - 7 + 11)(x - 6)
= (2x + 4)(x - 6) yd^2.
So we have the equation
x(2x - 7) - (2x + 4)(x - 6) = 40
2x^2 - 7x - (2x^2 - 12x + 4x - 24) = 40
2x^2 - 7x - 2x^2 + 8x + 24 - 40 = 0
x - 16 = 0
x = 16 yards = the width.
The length = 2(16) - 7 = 25 yards.
