An advertising company is designing a new logo that consist of a shaded triangle inside a parallelogram.What is the area in square units of parallelogram ABCD?
Accepted Solution
A:
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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]