A plot of land doubles in size by adding x meters to the length and xmeters to the width of the land.
If the original plot had an area of 200 by 300 meters, what is the value of x?

x = 100 meters

Step-by-step explanation:

The area of the original plot is 200 x 300 = 60,000

Doubling the area would equal to 120,000

(x + 200) x (x + 300) =  120,000

x^2 + 500x + 60000 = 120,000

x^2 + 500x - 60,000 = 0

(x + 600)(x - 100) = 0, so

x = - 600 (reject), x = 100

Therefore x = 100 meters.

I hope I could help :)