(5b-4)1/5
Need help simplify expression plz

(5b-4)1/5 = 5b * 1/5 - 4 * 1/5 = b - 4/5

a. The area of the wall is 60 ft.²

b. The minimum length of wallpaper to be purchased is 30 ft

Step-by-step explanation:

a. The given diagram is a pentagon, with the two vertical sides equal in length and the  two slant sides equal in length and one horizontal

The length of the vertical sides = 6 feet each

The length of the horizontal side = 8 feet

The height of the pentagon = 9 feet

The pentagon can be split into a rectangle with a triangular cap by an horizontal line drawn at point of intersection of the vertical sides and the horizontal sides

The area of the formed rectangle = Base  × Height of rectangle

∴ The area of the formed rectangle = 6 × 8 = 48 ft.²

The area of the triangular part of the figure = 1/2 × base × Height of triangle

a = 9 - 6 = 3 feet

∴ The area of the triangular part of the figure = 1/2 × 8 × 3 = 12 ft.²

The area of the wall = The area of the formed rectangle + The area of the triangular part of the figure

∴ The area of the wall = 48 ft.² + 12 ft.² = 60 ft.²

The area of the wall = 60 ft.²

b. The width of the sold wallpaper = 2 feet wide

The area of wallpaper = Length of wallpaper × The width of the sold wallpaper

The area of wallpaper required = The area of the wall = 60 ft.²

∴ 60 ft.² = Length of wallpaper × 2 ft.

Length of wallpaper = 60 ft.²/2 ft. = 30 ft.

The minimum length of wallpaper to be purchased = 30 ft.