Question 988323
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S=side of square; L=length of rectangle=S+6ft; W=width=S-5ft
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Areas are the same:
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{{{S^2=LW}}}
{{{S^2=(S+6)(S-5)
{{{S^2=S^2+S-30}}}
{{{0=S-30}}}
{{{30=S}}} The sides of the square are 30 feet.
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A=S^2=(30 ft)^2=900ft^2
ANSWER: The area of each room is 900 square feet.
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CHECK:
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LW=Area
(S+6ft)(S-5ft=)=900ft^2
(30ft+6ft)(30ft-5ft)=900ft^2
(36ft)(25ft)=900ft^2
900ft^2=900ft^2