Question

What is the minimum amount of cloth that was used to make the tent shown below?

5 ft
5 ft
4 ft
6 ft
10 ft
120ft
160ft
184 ft
20842

Answer 1

184 ft²

Explanation:

The perimeter of the end triangle is 6+5+5 = 16 ft. That is the length of the 10 ft wide rectangle that forms the floor and sides of the tent. That rectangle's area is ...

A = LW = (16 ft)(10 ft) = 160 ft^2

The area of the two triangular ends, taken together, is equivalent to that of a rectangle 4 ft high and 6 ft wide. The two ends have an area of ...

A = LW = (6 ft)(4 ft) = 24 ft^2

Then the total area of the tent is ...

160 ft^2 +24 ft^2 = 184 ft^2