SOLUTION: You are going camping with your family for a family reunion. You need to know how many sleeping bags will fit inside the tent you will be using. The floor of the tent is a trapezoi

Question 1119134: You are going camping with your family for a family reunion. You need to know how many sleeping bags will fit inside the tent you will be using. The floor of the tent is a trapezoid with bases of 10 ft. and 28 ft. The distance between the bases is 12 ft. and the legs of the trapezoidal floor are 15 ft. For the camping trip you will all be using sleeping bags that are 6.7 ft. by 2.3 ft.
a. Calculate the area of the floor of the tent using area formulas for rectangles and triangles.
b. Calculate the area of the floor using the formula for a trapezoid.
c. What did you discover about the two methods of calculating the area of the floor?
d. Find the perimeter of the tent and the perimeter of a sleeping bag.
e. How much area do you need for one sleeping bag?
f. Based on total area alone (ignore odd angles), how many people will be able to sleep in this tent? Explain.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

(a) 10x12 rectangle plus two right triangles each with legs 9 and 12; area is 10*12=120 plus 2(9*12)/2 = 108; total area 228.

(b) height times average of the bases: 12(10+28)/2 = 12*19 = 228.

(c) WOW! What a surprise! The answers are the same!!!

(d) tent: 10+28+15+15 = 68; sleeping bag: 2(6.7+2.3) = 18.

(e) 6.7*2.3 = 15.41 sq ft.

(f) 228/15.41 = 14.8; so 14 sleeping bags if they can't overlap a bit.
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