# Answer to Question #11000 in Abstract Algebra for tianna

Question #11000
Judith works after school at her family's tent company. One of their best selling tents is an A-frame tent that is 4 ft. high and has a rectangular bottom 4ft. wide by 6 ft. long. The sides of the tent are 4.5 ft. long. How much canvas is needed to make the tent? (Hint: determine the surface area)
The tent consists of 5 geometrical figures: 3 rectangles and 2 triangles. The bottom rectangle area is

A1 = width&middot;lenght = 4&middot;6 = 24 ft&sup2;.

Two other rectangles that make ramps of a tent have area of

Last two triangles that make front and back sides of a tent have area

A4 = A5 = width&middot;height/2 = 6&middot;4/2 = 12 ft&sup2;.

So, the total area of a needed canvas is

A = A1 + A2 + A3 + A4 + A5 = 24 + 2&middot;24&radic;2 + 2&middot;12 = 48(1+&radic;2) ft&sup2;.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!