How much fabric is needed to make a tent in the shape of a triangular prism with the following measures?

273 ft 2
329 ft 2
294 ft 2
266 ft 2

300 ft^2

Step-by-step explanation:

The total area will be some sum of areas of rectangles and triangles. The area of a rectangle is the product of its length and width:

A = LW

The area of a triangle is half the product of its base length and height:

A = (1/2)bh

If we assume the dimensions shown on the diagram are supposed to be feet, rather than yards, the areas can be added up as follows:

left side flap: (8 ft)·(12 ft) = 96 ft^2

right side flap: (5 ft)·(12 ft) = 60 ft^2

Then the area of the two side flaps togther is ...

left flap area + right flap area = (96 +60) ft^2 = 156 ft^2

The bottom area is ... (9 ft)·(12 ft) = 108 ft^2

The area of each triangular end is ..

end area = (1/2)(9 ft)(4 ft) = 18 ft^2

so the two of them together total 2·(18 ft^2) = 36 ft^2.

Then the sum of areas for the side flaps, bottom, and triangular ends is ...

(156 + 108 + 36) ft^2 = 300 ft^2

Comment on the question

We cannot find any combination of these areas that will add to give any of the offered answers. We believe this question should be regarded as a waste of time, badlly edited and not checked by its publisher. Unfortunately, there are all too many of those in published curriculum today. You have every right to be confused by it.

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation: