Respuesta :

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