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anonymous
 4 years ago
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?
anonymous
 4 years ago
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?

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ash2326
 4 years ago
Best ResponseYou've already chosen the best response.1New 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+17x3=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
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