Question 299122: A rectangular dance floor measures 24 feet by 32 feet. The length and width of the floor will both be increased by x feet. Write an equation that can be used to determine the value of x, in feet, if the area of the new dance floor is 1,174.25 square feet.
What are the dimensions of the new dance floor, in feet, if the area is 1,174.25 square feet?
Answer by checkley77(12844)   (Show Source):
You can put this solution on YOUR website! (24+x)(32+x)=1,174.25
768+56x+x^2=1,174.25
x^2+56x+768-1,174.25=0
x^2+56x-406.25=0
(x+62.5)(x-6.5)=0
x+62.5=0
x=-62.5 ans.
x-6.5=0
x=6.5 ans.
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