How do you solve this algebra problem?

Suppose that you want to make a new rug out of a square piece of rug, if you cut 4 in. off the length and 3 in. off the width. The resulting area would be 1056 in.^2. What is the perimeter of the original piece of rug?

Write it as a polynomial, then factor it,then solve it.

It's on my quiz tomorrow and I don't know how to solve it! Please help!

Comments

  • Let x = the length

    because the original rug was a square, the width will be the same. So the width is x.

    (x - 4)(x - 3) = 1056

    x² - 7x + 12 = 1056

    x² - 7x - 1044 = 0

    (x + 29)(x - 36) = 0

    x = 36 (x must be positive).

    So the original rug was 144in long.

  • (x-4)(x-3) = 1056

    x^2 - 7x + 12 = 1056

    x^2 - 7x - 1044 = 0

    (x - 36)(x + 29) = 0

    x = 36 is side of original rug. Since it's square, its perimeter would be 4*36 = 144 in.

  • sorry hun cant help u with this one but ill try

    2+2=4*2=8*2=16*2=32 5 th5n2 s6 14st go from there lol

  • simply 7x + 1 n = the square root of my penis.

    oh no what is happening i am hard

  • thats a hard one. im in calculus and i have no idea how to do that!

    Sorry

  • blah-ga-shmore

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