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Annalise makes rectangular patchwork quilts out of leftover fabric scraps. The first scrap she is using to make a quilt has a width of 2x feet and a

Hength of 5x feet. When finished, the entire quilt will be 5 feet wider and 3 feet longer than the first fabric scrap used. Which of the following
functions will give the area, fx), of the quilt in square feet?

User Anastasiya
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2 Answers

1 vote

that guy is right i got it right on my test its f(x)=10x^2 +31x+15

User Abder KRIMA
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7 votes

Answer:

Area =
f(x)=10x^2 + 31x + 15

Explanation:

The function is the area function of a rectangle.

Area of Rectangle = Length * Width

Length of fabric scrap = 5x

Length of rectangular patchwork will be 5x + 3

and

Width of fabric scrap = 2x

Width of rectangular patchwork will be 2x + 5

THus, Area = (5x+3)(2x+5) square feet.

Let's expand:


Area = f(x) = (5x+3)(2x+5)\\f(x)=10x^2 + 25x + 6x + 15\\f(x)=10x^2 + 31x + 15

User Falcojr
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