Lets write as an equation the info provided in the problem: original area = 200*300 = 60000 squared meters Adding x meters to the length is: 300 + x Adding x meters to the width is: 200 + x If the area doubles in size we have: 2*<span>60000 Now writing as a single equation all info: (300 + x)(200 + x) = 120000 We have to make the operations and solve: 60000 + 300x + 200x + x^2 = </span><span>120000 x^2 + 500x - 60000 = 0 This is a squared trinomial, to solve it we need two numbers that subtracted give us 500 and multiplied -60000: (x + 600)(x -100) = 0 So there are two solutions, x = -600 and x = 100, we choose the positive one: x = 100 thererefore the value of x is 100 meters</span>
