Mathematics
Grade10
Easy

Question

Rectangles A and B are similar. An expression that represents the width of each rectangle is shown. Find the scale factor of rectangle A to rectangle B in the simplest form.
fraction numerator x squared minus 25 over denominator x minus 4 end fraction  fraction numerator x plus 5 over denominator x squared minus 16 end fraction

  1. (x – 5)
  2. (x + 5)(x - 4)
  3. (x – 5)(x + 4)
  4. x(x + 4)

hintHint:

In the given question rectangles are similar also we have to find the scale factor of the width, text  Scalefactor  end text equals fraction numerator text  width of rectangle  end text A over denominator text  width of rectangle  end text B end fraction .

The correct answer is: (x – 5)(x + 4)


    text  Scalefactor  end text equals fraction numerator text  width of rectangle  end text A over denominator text  width of rectangle  end text B end fraction
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell equals fraction numerator x squared minus 25 over denominator x minus 4 end fraction divided by fraction numerator x plus 5 over denominator x squared minus 16 end fraction equals fraction numerator left parenthesis x minus 5 right parenthesis left parenthesis x plus 5 right parenthesis over denominator left parenthesis x minus 4 right parenthesis end fraction cross times fraction numerator left parenthesis x minus 4 right parenthesis left parenthesis x plus 4 right parenthesis over denominator left parenthesis x plus 5 right parenthesis end fraction end cell row cell equals left parenthesis x minus 5 right parenthesis left parenthesis x plus 4 right parenthesis end cell end table

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