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

Mathematics

1 answer:

gayaneshka [121]3 years ago

3 0

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

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