SOLUTION: A city's state park is a rectangle 100 ft long by 50 ft wide. The city wants to triple the area of the skate park by adding the same distance (x) to the length and width. Write and

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Question 1010899: A city's state park is a rectangle 100 ft long by 50 ft wide. The city wants to triple the area of the skate park by adding the same distance (x) to the length and width. Write and solve an equation to find the value of x. What are the new dimensions of the skate park?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
A=100*50=5000 sq ft.
new length is 100+x.
new width is 50+x
new area is 15,000 sq ft
(100+x)(50+x)=5000+100x+50x+x^2
x^2+150x-10000=0
(x+200)(x-50)=0
x=50 ft, only sensible root.
New dimensions are 150+100=15,000 sq ft.