Question 778183
Width = x meters

Length = x + 5 meters

Area = 66 meters

Use Area = length times width

66 = (x+5)x

66 = x^2 + 5x

x^2 + 5x - 66 = 0

We now factor the quadratic equation to find x.

(x+11)(x-6) = 0

Note: Setting x+11 = 0 and solving for x yields
a negative answer. Since we are dealing
with dimension, reject x+11. 


Solve x-6 = 0 for x.

In this case, x = 6.


Let's go back to the actual width and length
given above.

Width = x meters. We just found x to be 6. This
means the width is 6 meters.


Length = x + 5 meters. Letting x be 6, the length
turns out to be 6+5 meters or 11 meters.

Done.