Question

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?

Answer 1

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 =
`(1)/(2)(height)(base)`
=
`(1)/(2) (4)(4)`
= 8 units²

What fraction of the parallelogram is shaded?
= Area of triangle ÷ Area of parallelogram
=
`(8)/(24)`
=
`(1)/(3)`

Your answer will be option D