Answer:
576 square feet.
Step-by-step explanation:
We have been given that Alex needs to varnish the top and bottom of a dozen rectangular wooden planks.The planks are 8 feet long and 3 feet wide.
We are asked to find the total area that Alex needs to varnish.
First of all, we will find area of one side of plank by multiplying the length and width o each plank as:
[tex]\text{Area of one side of plank}=8\text{ ft}\times 3\text{ ft}[/tex]
[tex]\text{Area of one side of plank}=24\text{ ft}^2[/tex]
The area for two sides of each plank would be 2 times 24 square feet that is [tex]2\times 24\text{ ft}^2=48\text{ ft}^2[/tex].
The area for 2 sides of each plank is 48 square feet, so area of a dozen rectangular wooden planks would be 12 times 48 square feet.
[tex]\text{Area of 1 dozen wooden planks}=12\times 48\text{ ft}^2[/tex]
[tex]\text{Area of 1 dozen wooden planks}=576\text{ ft}^2[/tex]
Therefore, the total area that Alex needs would be 576 square feet.