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Answered

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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?

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Sagot :

Let ones side be a and others be a+4

ATQ

[tex]\\ \sf\longmapsto a^2+(a+4)^2=170[/tex]

[tex]\\ \sf\longmapsto a^2+a^2+8a+16=170[/tex]

[tex]\\ \sf\longmapsto 2a^2+8a=154[/tex]

[tex]\\ \sf\longmapsto a^2+4a=77[/tex]

[tex]\\ \sf\longmapsto a^2+4a-77=0[/tex]

[tex]\\ \sf\longmapsto a=7\:or\:a=-11[/tex]

  • a can't be negative

[tex]\\ \sf\longmapsto a=7[/tex]

  • a+4=7+4=11
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