ImanX392992 ImanX392992
  • 30-10-2022
  • Mathematics
contestada

Figure B is a scaled copy of Figure A.44.446Figure A11.111.5Figure B

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DemiahV675295 DemiahV675295
  • 30-10-2022

In order to determine the scale factor, calculate the quotient between the area of the two trapezoids.

Consider that the area of the trapezoid is given by the sum of the area of a rectangle ans a triangle.

For the bigger trapezoid you have:

A1 = (4)(4) + (6-4)(4)/2

A1 = 16 + (2)(4)/2

A1 = 16 + 4

A1 = 20

For the smaller trapezoid:

A2 = (1)(1) + (1.6 - 1)(1)/2

A2 = 1 + 0.3

A2 = 1.3

Finally, the scale factor is:

A1/A2 = 20/1.3 = 15.38

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