pinkcomes1st
pinkcomes1st pinkcomes1st
  • 07-03-2021
  • Mathematics
contestada

PLEASE HELP!!!
The polygons are similar. The area of one polygon is given. Find the area of the other polygon​

PLEASE HELP The polygons are similar The area of one polygon is given Find the area of the other polygon class=

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akposevictor
akposevictor akposevictor
  • 12-03-2021

Answer:

Area of the other polygon = 4 in.²

Step-by-step explanation:

Area of the bigger polygon : Area of the smaller polygon = square of the side length of the bigger polygon : square of the corresponding side length of the smaller polygon

Let "x" represent the area of the smaller polygon

Thus, we have:

100/x = 20²/4²

100/x = 400/16

100/x = 25

Cross multiply

25x = 100

Divide both sides by 25

25x/25 = 100/25

x = 4

Area of the other polygon = 4 in.²

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