SOLUTION: A Little League team is building a backstop for its practice field. It is made up of two right angles as shown below. The backstop extends 24 feet 8 inches out in each direction an
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Question 10280: A Little League team is building a backstop for its practice field. It is made up of two right angles as shown below. The backstop extends 24 feet 8 inches out in each direction and the center pole is 6.5 yards high. All sides of the backstop including base and the center pole are to be made of aluminum tubing. How many feet of tubing should the team buy? How many square feet of the backstop must be covered by a screen?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
While I didn't get the picture, I get the picture! (Your diagram didn't show up)
Let's do the aluminium tubing first.
The center pole and the two outer upright poles are 6.5 yds each in length.
The horizontal poles, there are four of them, are 24 ft 8 in. each in length
Adding them all together, making sure that we use common units of measurement, e.g. feet.
Vertical poles:
6.5 yds = 3 ft/yd(6.5 yds) = 19.5 feet But we have 3 of these, so:
3(19.5 ft) = 58.5 feet.
Horizontal poles:
24 ft 8 inches = 24.67 ft. But we have 4 of these, so:
4(24.67 ft) = 98.68 feet.
The total length of aluminium tubing then is: 58.5 ft + 98.68 ft = 157.18 feet of tubing.
Now the area of the screening:
We have two rectangles, the dimensions of each one are: 24.67 ft X 19.5 ft.
The area of one of these is: (24.67 ft)(19.5 ft) = 482.065 sq.ft.
So, the two side panels would need 2(482.065) = 962.13 sq.ft. of screening.
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