SOLUTION: 1. You've been advised to cover the area with mulch, to prevent weeds. It takes 6 bags of mulch to cover the entire area. On the back of the bag it says 3 bags = 24 square feet. Ho

Question 288023: 1. You've been advised to cover the area with mulch, to prevent weeds. It takes 6 bags of mulch to cover the entire area. On the back of the bag it says 3 bags = 24 square feet. How many square feet is in the area of the pumpkine patch?
2. Approximate the side length of the square pumpkin patch to the nearest foot.
3. You plan to lay down a path of "paver" stones across one of the diagonals of the patch, so that you can easily walk into the garden. In order to get the correct amount of stones, you need to know the length of the path. Make a sketch of the pumpkin patch, with the path on the diagonal.
4. When you go to the store with your measurments, you find out that the dimensions of the paver stones are given in centimeters. Convert the length of the walking path from feet to centimeters. Use the following conversion factors: 1 ft = 12 in. and 1 in. = 2 cm.
5. If you are going to lay the paver stones end to end, and each one is 2 cm long, how many paver stones do you need for the walking path?

Thanks so much! I very much appreciate it!
Answer by amnd(23) (Show Source): You can put this solution on YOUR website!
1. You have 6 bags of mulch, while 3 bags would cover 24 square feet. The area of the pumpkin patch would simply be the double of 24 square feet, or 48 square feet.
2. Say that the square pumpkin patch has a side length of L. Since it's square-shaped, the length and width would be the same, which means that the area of the pumpkin patch would be:

, which is around 6.92820323 feet. Rounded up to the nearest food, it would be 7 feet (which is the square root of 49, close enough to 48).
3. I'll leave the drawing to you, it should be an easy enough work.
A diagonal of the pumpkin patch would "divide" the square patch into two triangles, becoming its hypothenuse (the longest line that a triangle has). Use the Pythagorean theorem to find its length (which equals the length of the path). Let's say that the length of the diagonal/hypothenuse is represented by D:

, L is the square root of 48, so
Back to D:
which is roughly 9.79795897 feet (around 10 feet).
4. First, convert feet into inches, then to centimetres. Using the conversion factor 1 ft = 12 in, 1 in = 2 cm:
ft = in = cm, which is roughly 235.151015 cm
Or if they want the amount in feet to be rounded up to 10 feet first...
10 ft = 120 in = 240 cm (which would certainly make calculations for number 2 easier...)
5. If the path were 10 feet/240 cm long, the amount of paver stones required would simply be 240 cm divided by 2 cm, which is 120 stones.
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