Hey there :)
We are given the key :
.__.
|__| = One square unit
Part A.
Counting the units for the parallelogram, we can find
Height = 6 units
Base = 4 units
The area formula of a parallelogram is: ( Apply the formula )
Area = base × height
= 4 × 6
= 24 units²
Part B.
We can see that a triangle is shaded inside of the parallelogram
Counting the units for the triangle, we can find
Height = 4 units
Base = 4 units
We know the area formula of a triangle: ( Apply the formula )
Area = [tex] \frac{1}{2}(height)(base) [/tex]
= [tex] \frac{1}{2} (4)(4)[/tex]
= 8 units²
What fraction of the parallelogram is shaded?
= Area of triangle ÷ Area of parallelogram
= [tex] \frac{8}{24} [/tex]
= [tex] \frac{1}{3} [/tex]
Your answer will be option D
