Respuesta :

To find the area that is shaded red, you find the area of the rectangle and subtract it by the area of the triangle.


Area of a rectangle:

A = l × w             [ l = 11 in ; w = 6in ]    Plug these numbers into the equation

A = 11 · 6

A = 66 in²


Area of a triangle:

[tex]A=\frac{1}{2}bh[/tex]     [ b = 4 in ; h = 6 in ] Plug these #s into the equation

[tex]A = \frac{1}{2}(4)(6)[/tex]

[tex]A=\frac{24}{2}[/tex]

A = 12 in²


Area of rectangle - Area of triangle = Area of the shaded region

66 in² - 12 in ² = 54 in²


Your answer is B

The required red shaded region has the area of 54 in²

What is a rectangle?

A figure bounded by 4 sides in which the opposite sides are equal and all the internal angles are 90 ° is called a rectangle.

What is a triangle?

A figure bounded by 3 sides and all the internal angles add up to 180 ° is called a triangle.

What is a right angled triangle?

  • A triangle in which one angle in 90° is called a right angled triangle.
  • The side opposite to the right angle is called the hypotenuse which is the longest side of the triangle.
  • Area of the right angled triangle can be found with the formula :

Area  = (1/2)(base)(height)

How to find the area of the red shaded region?

  • In the given problem, there is a rectangle with in which there is a white colored right angled triangle.
  • The required area will be (Area of the rectangle) - (Area of the triangle).

Area of the rectangle = (11 x 6) in² = 66 in²

Area of the right angled triangle = (1/2)(6 x 4)  in² = 12 in²

∴ Area of the red shaded region = (66 - 12)  in² = 54 in²

Option B is correct.

Find more about "Rectangle" here : https://brainly.com/question/25292087

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