anonymous
  • anonymous
Sarah wants to hang a painting in a gallery but the painting and frame must have an area of 75 square feet. The painting is 8 feet wide by 9 feet long. The frame must have an equal width of x on each side. Which quadratic equation represents the area of the painting and frame combined?
Mathematics
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anonymous
  • anonymous
Sarah wants to hang a painting in a gallery but the painting and frame must have an area of 75 square feet. The painting is 8 feet wide by 9 feet long. The frame must have an equal width of x on each side. Which quadratic equation represents the area of the painting and frame combined?
Mathematics
katieb
  • katieb
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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ash2326
  • ash2326
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ash2326
  • ash2326
New Width= 8+x New Length= 9+x Area=>75=(8+x)(9+x) (8+x)(9+x)=75 x^2+17x+72=75 x^2+17x-3=0 \[x=(-17 \pm \sqrt{ 289+12})/2\] x can't be negative so \[x=(-17+ \sqrt{ 289+12})/2\] \[x=(-17+ \sqrt{ 301})/2\] \[x=(-17+17.349)/2\] x=0.1746 feet
anonymous
  • anonymous
Thank you so much!:)

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