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38 votes
38 votes
A professional interior designer is purchasing wallpaper for two square walls. One wall is 4 feet wider than

the other if 170 square feet of wallpaper is required. What are the wall's measurements?



User Jeffrey Girard
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1 Answer

12 votes
12 votes

Let ones side be a and others be a+4

ATQ


\\ \sf\longmapsto a^2+(a+4)^2=170


\\ \sf\longmapsto a^2+a^2+8a+16=170


\\ \sf\longmapsto 2a^2+8a=154


\\ \sf\longmapsto a^2+4a=77


\\ \sf\longmapsto a^2+4a-77=0


\\ \sf\longmapsto a=7\:or\:a=-11

  • a can't be negative


\\ \sf\longmapsto a=7

  • a+4=7+4=11
User Gennine
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2.5k points