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10 votes
NO LINKS!! Similar figures are given. Use the given area to find the measure of XY.​

NO LINKS!! Similar figures are given. Use the given area to find the measure of XY-example-1

2 Answers

4 votes

Remember for any two polygons

Area of polygons is directly proportional to square of sides

So

  • BC²/XY²=135/15
  • 15²/XY²=9
  • (15/3)²=XY²
  • XY=5in

#35

  • HJ²/XY²=168/378
  • 8²/XY²=0.44
  • XY²=64/0.44
  • XY²=145.45
  • XY\approx 12+
6 votes

Answer:


\textsf {See below :-}

Explanation:


\textsf {Relation to keep in mind :}\\


\implies \mathsf {Area = length^(2)}


\textsf {Question 34}


\implies \mathsf {(135)/(15) = ((15)/(XY))^(2) }


\implies \mathsf {XY^(2) = (15^(3))/(135)}}


\implies \mathsf {XY = 5}


\textsf {Question 35}


\implies \mathsf {(378)/(168) = ((XY)/(8))^(2) }


\implies \mathsf {XY= \sqrt{(378 * 64)/(168)}}


\implies \mathsf {XY = √(144)}


\implies \mathsf {XY = 12}

User Natronite
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