madkat345
contestada


Mrs. Henson's rectangular afghan is 2 feet
longer than it is wide. If the afghan has an
area of 24 square feet, what is its width?
(Remember, the area of a rectangle is its
length times its width.)

Respuesta :

grizzlygirl777

Answer:

The width is 4

Step-by-step explanation:

If the length is 6 feet, minus 2 will be 4. Six times 4 is 24, which is the area of the afghan rug. We are multiplying 6 and 4 because it is length times width in rectangle area.

Mrs. Henson's rectangular afghan width will be 4 feet

Area of a rectangle

It is the product of its length and width

How to solve this problem?

  • Let, x be width of rectangular afghan
  • Given,

Length of afghan is 2 feet more than its width

∴ l = x+2

Area of rectangular afghan = 24 square feet

  • Now,

Area of rectangular afghan = lw

[tex]24=x(x+2)\\24=x^{2} +2x\\x^{2} +2x-24=0\\x^{2} -4x+6x-24=0\\(x-4)(x+6)=0\\x=4 or -6[/tex]

  • Since width can not be in negative

[tex]x=4feet[/tex]

So the width of rectangular afghan will be 4 feet

Learn more about area of a rectangle here:

https://brainly.com/question/25292087

#SPJ2

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