Respuesta :

Answer:

The area of shaded region is 25.5 units³

Step-by-step explanation:

Step 1 , you have to find the area of rectangle and triangle using the formulas :

Rectangle :

[tex]area = length \times width[/tex]

Let length = 5 units,

Let width = 6 units,

[tex]area = 5 \times 6[/tex]

[tex]area = 30 \: \: {units}^{2} [/tex]

Triangle :

[tex]area = \frac{1}{2} \times base \times height[/tex]

Let base = 3 units,

Let height = 3 units,

[tex]area = \frac{1}{2} \times 3 \times 3[/tex]

[tex]area = \frac{1}{2} \times 9[/tex]

[tex]area = 4.5 \: \: \: {units}^{2} [/tex]

Step 2 , in order to find the shaded region, you have to substract the area of triangle from the area of rectangle (As the triangle is not shaded) :

[tex]area = 30 - 4.5[/tex]

[tex]area = 25.5 \: \: \: {units}^{2} [/tex]

ACCESS MORE