cathy1pineda12
cathy1pineda12 cathy1pineda12
  • 25-04-2022
  • Mathematics
contestada

someone please please help me i need this asap and i’m struggling so much !!!

someone please please help me i need this asap and im struggling so much class=

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 26-04-2022

Answer:

21.5 square units

Step-by-step explanation:

The 4 circles touching eachother have a total combined length of 20.

There are 4 circles. 20/4 = 5. The diameter of each circle is 5 units.

The length ofthe rectangle is 20 units. the width of the rectangle is 5 units.

The area of the shaded region is the area of the rectangle minus the ares of 4 circles.

A = area of rectangle - area of 4 circles

A = LW - 4 × πr²

The radius of each ciorcle is d/2 = 5/2 = 2.5

A = 20 × 5 - 4 × 3.14 × 2.5²

A = 100 - 78.5

A = 21.5

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