Mr. Gonzalez built two identical flower beds in his yard with the dimensions shown. A prism has a length of 6 feet, height of 2 feet, and width of 5 feet. A prism has a length of 6 feet, height of 2 feet, and width of 5 feet. How much paint, in square feet, will Mr. Gonzalez need to paint the sides of both flower beds?

For the 2 the identical flower beds he will require 44 × 2 = 88 ft² of paints to paint the sides of the beds.

Step-by-step explanation:

The prisms are 2 identical flower beds . The dimensions are the same which have a length of 6 ft , height of 2 ft and width of 5 ft. He wants to paints the side of the beds which is the lateral area of the prisms.

Lateral surface area of a rectangular prism is adding the area of the lateral faces of the prism.

Lateral surface area = PH

P = perimeter of the side

H = height

perimeter = (2L + 2W)

where

L = length

W = width

L = 6 ft

W = 5 ft

perimeter = (2L + 2W)

perimeter = (2 × 6 + 2 × 5)

perimeter = (12 + 10)

perimeter = 22 ft

Lateral area = 22 × 2

Lateral area = 44 ft²

For the 2 the identical flower beds he will require 44 × 2 = 88 ft² of paints to paint the sides of the beds.