kylefourieschool
kylefourieschool kylefourieschool
  • 08-02-2022
  • Mathematics
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The 2 pentagons above are similar. What is the area of the smaller pentagon? 3.5/14 =1/4
show all calculations

32 in 2

4 in 2

16 in 2

8 in 2

The 2 pentagons above are similar What is the area of the smaller pentagon 3514 14show all calculations 32 in 24 in 216 in 28 in 2 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 08-02-2022

Answer:

A = 4 in²

Step-by-step explanation:

Given 2 similar figures with sides in ratio a : b , then

ratio of areas = a² : b²

here ratio of sides = 3.5 : 14 = 1 : 4 , then

ratio of areas = 1² : 4² = 1 : 16

That is the area of the larger pentagon is 16 times the area of smaller , so

area of smaller A = 64 ÷ 16 = 4 in²

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