paige174
paige174 paige174
  • 01-02-2022
  • Mathematics
contestada

These two figures look alike, find the area of the other shape

These two figures look alike find the area of the other shape class=

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mathstudent55
mathstudent55 mathstudent55
  • 01-02-2022

Answer:

32.3

Step-by-step explanation:

First we find the scale factor from the small figure to the large figure.

scale factor = 34/20 = 1.7

If we multiply a length or the perimeter of the small figure, we get the corresponding dimension in the large figure.

For example, 20 m × 1.7 = 34 m.

To use the scale factor for an area, you must square the scale factor.

(scale factor)² = 1.7² = 2.89

area of large figure = 19.6 m² × 2.89 = 32.3 m²

Answer: 32.3

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