Question

Hunter Hughes wants to paint a giant H on his living room wall like the one above. What is the total area of the H that will need to be painted?



(1 point)
m2

Answer 1

I can't see the diagram you mention. Could you either upload the picture or tell me the dimensions (heights, widths, and thicknesses) of the parts of the H?

If it helps, here's the straightforward method and a compact formula you can use once you have the numbers:

Model the H as three rectangles: two vertical bars and one horizontal crossbar. Let
- w = width of each vertical bar,
- h = total height of each vertical bar,
- b = length of the horizontal crossbar (outside-to-outside),
- t = thickness (height) of the horizontal crossbar.

The total painted area is
A = area(verticals) + area(crossbar) − overlap areas
= 2*(w*h) + (b*t) − 2*(w*t)
= 2w(h − t) + b t.

Give me the diagram or the values for w, h, b, and t and I’ll compute the numerical answer.