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Problem-solving A picture frame is designed to take a 6 cm x 8 cm picture.
The border is exactly the same width all round and its area is 32 cm2
How wide is the border?
6
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Problemsolving A picture frame is designed to take a 6 cm x 8 cm pictureThe border is exactly the same width all round and its area is 32 cm2How wide is the bor class=

Respuesta :

dannielle

Answer:

A=(6+2x)(8+2x)-6*8=6*8+12x+16x+4x^2-6*8=32

    28x+4x^2=32

     :4

    7x+x^2=8

    x^2+7x-8=0

    x^2-x+8x-8=0

   x(x-1)+8(x-1)=0

   (x-1)(x+8)=0

   x-1=0,x=1

   or x+8=0,x=-8

   but x should be positive

   so x=1 is the solution

Step-by-step explanation:

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