Thank you for the opportunity to help you with your question!

a. To determine the area that needs to be painted, we need to figure out the area of the 4 walls and the ceiling (assuming the floor isn't being painted). The area 2 of the walls will be L * H and the area of the other two walls will be W * H. Adding those all together will result in the final surface area

A = 2 * L * H + 2 * W * H

b. To find H in terms of the other variables, first factor out H, then put the non H terms on the other side, then divide both sides by everything H is multiplied by.

A = H (2L + 2W)

A / (2L + 2W) = H

c. H = 512 / (2*18 + 2*14) = 8 ft

d. If L = W, just substitute a W in for every L in the area equation

A = H (2W + 2W)

A = 4WH

Please let me know if you need any clarification. I'm always happy to answer your questions.

Oct 6th, 2015

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