which expression gives the area of the shaded region of the rectangle?
shaded portion:
length:r+4
width: r+8
unshaded portion:
length: r
width: r+2
which rectangle?
To find the area of the shaded region of the rectangle, we need to subtract the area of the unshaded portion from the area of the entire rectangle.
To find the area of the entire rectangle, we can use the formula: length × width.
The length of the entire rectangle is given as r + 4, and the width of the entire rectangle is given as r + 8. Therefore, the area of the entire rectangle is (r + 4) × (r + 8).
To find the area of the unshaded portion, we can use the length and width given for the unshaded portion. The length of the unshaded portion is given as r, and the width of the unshaded portion is given as r + 2. Therefore, the area of the unshaded portion is r × (r + 2).
Now, to find the area of the shaded region, we subtract the area of the unshaded portion from the area of the entire rectangle:
Area of shaded region = Area of entire rectangle - Area of unshaded portion
= (r + 4) × (r + 8) - r × (r + 2)
Simplifying this expression will give you the area of the shaded region.