Respuesta :

Answer:

  • 27.52 in²

Step-by-step explanation:

Given dimensions

Rectangle:

  • w = 8 in, l = 8*2 = 6 in

Circle:

  • d = 8 in

Find the area of the rectangle:

  • A(r) = lw = 8*16 = 128 in²

Find the area of circles:

  • A(c) = 2*πr² = 2πd²/4 = πd²/2 = 3.14*8²/2 = 100.48 in²

Find the difference:

  • A = 128 - 100.48 = 27.52 in²

Length of rectangle

  • 8+8=16in

Area of rectangle.

  • Length×Breadth
  • 16(8)
  • 128in²

Arew of two circles.

  • 2×πr²
  • 2×π(8/2)²
  • 2×16π
  • 32π
  • 100.48in²

Area of shaded region

  • 128-100.48
  • 27.52in²