Answer:
A = 76
Step-by-step explanation:
Formula of the area of a triangle: [tex]A=\frac{h*b}{2}[/tex]
Formula of a rectangle: [tex]A=l*w[/tex]
So starting with the triangle...You know that the height of the triangle is 7, and the base of the triangle is 8 because the base of the rectangle is the same as the triangle's base...
Now using the formula of the triangle...
A = [tex]\frac{7*8}{2}[/tex]
= 28
Now find the area of the whole retangle...The length of the rectangle is 13 because 7+6=13; the width is 8
Now using the formula of the rectangle...
A = [tex]13*8[/tex]
= 108
Now that you have the areas of both the triangle and the retangle...Do subtraction to find the shaded area...
[tex]108 - 28 = 76[/tex]
