Respuesta :

mhanifa

Answer:

  • 126.14 in²

Step-by-step explanation:

Given

  • Rectangle with sides of  20 in and x+2 in and perimeter of 68 in

Perimeter = 2(l + w)

  • l = 20 in, w = x + 2 in, P = 68 in

Substitute values in perimeter formula

  • 68 = 2(20 + x + 2)
  • 34 = x + 22
  • x = 34 - 22
  • x = 12 in

Then, the value of width is

  • w = 12 + 2 = 14 in

Area of rectangle

  • A = lw = 20*14 = 280 in²

Area of circle

  • A = πr² = 3.14*7² = 153.86

Shaded area

  • 280 - 153.86  = 126.14 in²

Wolfyy

Answer:

126.14in²

Step-by-step explanation:

P = 2w + 2l

68 = 2(x + 2) + 2(20)

68 = 2x + 4 + 40

68 = 2x + 44

24 = 2x

12 = x

x + 2

12 + 2

14 (width)

14 * 20

280in² (area of rectangle)

A = πr²

A = π(7)²

A = 49π

A = 153.86 (area of circle)

280 - 153.86

126.14 (area of shaded region)

Best of Luck!

Otras preguntas