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For each pair of similar figures, use the given areas to find the scale factor from the unshaded to the shaded figure. Then solve for x.

For Each Pair Of Similar Figures Use The Given Areas To Find The Scale Factor From The Unshaded To The Shaded Figure Then Solve For X class=

Sagot :

Akposevictoridn

Given that the unshaded and shaded figures are similar:

1. scale factor = 36/25; x = 5.6 m

2. scale factor = 1/4; x = 2 ft

Areas of Similar Figures

  • Where, a and b are the side length of two similar figures respectively, the ratio of their area would be, a²/b².
  • The scale factor would be, a/b.

Thus:

Area of unshaded figure = 72 m²

Area of shaded figure = 50 m²

Side of unshaded figure = 8 m

Side of shaded figure = x m

Therefore:

Scale factor = 72/50 = 36/25

Solve for x:

8/x = 36/25

  • Cross multiply

x = (8×25)/36

x = 5.6 m

Area of unshaded figure = 16 ft²

Area of shaded figure = 64 ft²

Side of unshaded figure = x ft

Side of shaded figure = 8 ft

Therefore:

Scale factor = 16/64 = 1/4

Solve for x:

x/8 = 1/4

  • Cross multiply

x = (1×8)/4

x = 2 ft

Learn more about areas of similar figures on:

https://brainly.com/question/11899908

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