Anonymous
Anonymous asked in Science & MathematicsMathematics · 8 years ago

Please help me on Polynomials Word Problems?

hello, can anyone please teach me or show me how to set up the equations for the word problems? I am stuck on trying how to do them...Thank you

1) a photo is 3 cm longer than it is wide. Find the length and the width if the area is 108 cm^2.

2)a picture frame measures 14 cm by 20 cm, and 160m cm^2 of picture shows. find the width of the frame.

2 Answers

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  • Anonymous
    8 years ago
    Favorite Answer

    1.Let the width be xcm then

    length=x+3cm

    area=108cm^2

    area=l*b=x(x+3)

    =>108=x^2+3x

    =>x^2+3x-108=0

    So there are 2 values for x,

    i.e. (x-9)(x+12)=0

    i.e x=9 or x=-12

    Since width cannot be -ve

    Therefore x=9

    i.e Length=12cm and Width=9cm

    2.Since the question is not clear I am unable to answer it.

  • 8 years ago

    1) a photo is 3 cm longer than it is wide. Find the length and the width if the area is 108 cm^2.

    Length = L

    Width = W

    area = length * width = L X W

    in this example

    L = 3 + W

    L X W = 108

    now you have two equations with 2 unknowns to solve.

    2)a picture frame measures 14 cm by 20 cm, and 160m cm^2 of picture shows. find the width of the frame

    i did not get the need exactly but i guess the show area is still proportional to as the fram area

    that means

    the width will be proportional to length in the range 14 to 20 : W = L * 14/20

    W*L = 160

    two equations in two unknowns

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