Alex needs to varnish the top And the bottom of a dozen rectangular wooden planks planks are 8 feet long and 3 feet wide each pint Of varnish covers about 125 Square feet and cost 3.50 what is the total area that Alex needs to varnish and how much will it costs Alex to varnish all the wooden planks

Respuesta :

Answer:

It will cost approximately $16.12 to varnish all the wooden planks.                                            

Step-by-step explanation:

We are given the following in the question:

Number of rectangular planks = 12

Dimension of the rectangular wooden plank:

Length = 8 feet

Width = 3 feet

Area covered by I bottle of varnish = 125 Square feet

Cost of 1 bottle of varnish = 3.50 units

Area of 1 rectangular plot =

[tex]A = \text{Length}\times \text{Width}\\A = 8\times 3\\A = 24\text{ square feet}[/tex]

Total area to be covered by varnish =

[tex]= \text{Area of 1 plank}\times 12\times \text{Top area and bottom area}\\=24\times 12\times 2\\=576[/tex]

Number of varnish bottles required =

[tex]n = \dfrac{\text{Total area}}{\text{Total area covered by 1 varnish bottle}} = \dfrac{576}{125} = 4.608[/tex]

Cost of varnishing =

[tex]=\text{Cost of 1bottle of varnish}\times \text{Number of varnish bottles}\\=4.608\times 3.50\\=\$16.12[/tex]

Thus, it will cost approximately $16.12 to varnish all the wooden planks.