Arectangular corn hole area at the recreation center has a width of 5 feet and a length of 10 feet. if a uniform amount is added to each side, the area is increased to 84 square feet. what is the amount added to each sid

1. The formula for calculate the area of a rectangle, is:
 
 A=LxW
 
 A is the area of the rectangle
 L is the length of the rectangle.
 W is the widht of the rectangle

2. You have that:
 
 -The rectangular Corn Hole area has a width of 5 feet and a length of 10 feet, so:
 
 L1=10 feet
 W1=5 feet
 
 - When a uniform amount is added to each side (x), the area is increased to 84 feet². Then, you have a different length (L2) and a different width (W2):
 
 3. The new length is: 
 
 L2=L1+x+x
 L2=L1+2x
 L2=10+2x
 
 4. The new width is:
 
 W2=W1+x+x
 W2=W1+2x
 W2=5+2x
 
 5. The new area is:
 
 A2=84 feet²
 
 6. Then, you have:
 
 A=LxW
 84=(10+2x)(5+2x)
 
 7. When you apply the distributive property, you obtain a quadratic equation:
 
 4x²+30x-34=0
 
 8. You can solve with by applyin the quadratic formula: 
 
 x=(-b±√(b^2-4ac))/2a
 
 a=4
 b=30
 c=-34
 
 9. Then, the answer is:
 
 x=1 feet