MATH SOLVE

4 months ago

Q:
# 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:

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

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