04ethanjacinto
Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

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 :

akposevictor

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

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.