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Let the width be 1/2x+20 and the length be x:

2(width+length) = perimeter

2(1/2x+20+x) = 520 ft

x+40+2x = 520

x+2x = 520-40

3x = 480

x = 160

Therefore: width = 100 ft and length = 160 ft

Check: 2(100+160) = 520 ft

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Q: The top floor is rectangular and has perimeter 520 ft The width of top floor measres 20 ft more than one-half its length What are the dimensions of the top floor?
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