Question

Dogwood Park is 30 yards long by 20 yards wide. Kylie is making plans to double the area by adding a strip at one end and another of the same width on one side. Find the width of the strip.

Answer 1

We are asked to solve for the value of "x" such that when it is added in the original area of the park it will double the area. Let us compute first the area of the original dog park (A1) and the solution is shown below:
Area = Lenght*Width = L*W where L=30 yards and W=20 yards
Area = 30*20
Area = 600 yards squared
Solving for the x, when x is added to both sides which double the area:
A1*2 = (L + 2x)*W
600*2 = (30+2x)*20
1200 / 20 = 30+2x
60 = 30 + 2x
60-30 = 2x
30/2 =x
15 = x

The value of x is 15 yards.