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Why do you multiply the two sides of the square to get the area?
Areas are measured in squares.The area of any shape is the number of squares that it covers. The number of squares covered depends upon the size of the squares.A square centimetre is a square with 1 centimetre along each side.If you had a square 6 centimetres along each side, how many of these "square centimetres" would be needed to fill its interior?First, along one edge of the square you could fit 6 of these square centimetres in a row.You could also fit 6 of these rows down the 6 cm square. So in total there would be 6 x 6 = 36 of the little squares:.............................................................----------------------..........|.....|......|.....|......|......|.....|..........|--+--+--+--+--+--|..........|.....|......|.....|......|......|.....|..... In this diagram, each little square is a square with.....|--+--+--+--+--+--|..... 1 cm along each side......|.....|......|.....|......|......|.....|..... The big square is 6 cm along each side, and you can.....|--+--+--+--+--+--|..... see the 36 little squares inside it in 6 rows of 6 little.....|.....|......|.....|......|......|.....|..... squares in each. To count the squares quickly, the.....|--+--+--+--+--+--|..... sides of the square are multiplied together......|.....|......|.....|......|......|.....|..........|--+--+--+--+--+--|..........|.....|......|.....|......|......|.....|..........----------------------.............................................................
How does algebra relate to real life situations?
One example: You purchase a new home and the backyard is not landscaped. So you want to put in a lawn in a section of the backyard. But you have just purchased a new home, so money is tight, thus you decide to do the job yourself. You know you can afford $1500 for sod, and sod cost $2 a square foot. So how many square feet of Sod can you purchase? 2x = 1500. Well obviously you can purchase 750 square feet of sod. That is awesome, but now you look at your back yard and the dimensions of the area you want to cover are 15 ft long and 25 feet wide. So how many square feet of sod should you purchase? 15*25= 375. Oh great! You only need to buy 375 sq ft of sod at $2 a square foot. So you only need to spend $750 on sod! Well you have planters that you could put some plants into. But they don't have any dirt in them. Each planter is 2 feet high, 2 feet wide, and 3 feet long. How much dirt do you need to buy for one planter? 2*2*3=12. You see you need 12 cubic feet of dirt for each planter. You have 4 planters, but a cubic foot of dirt costs $5. Can you fill all 4 planters with your budget of $750? 12*4=48. So you need 48 cu ft at $5 a cu foot. Well that's $240, so you can fill your planters. You now have $510 left over for plants, what good is a planter filled with dirt without any plants? So you decide to plant 4 types of plants. A Japanese Maple costs $75, Primroses are $5 a package, Iris plants are $15 each, and evergreen bushes are $50 each. You want the same number of plants in each planter, and you want to come as close to $510 as possible...... Ok this example was strictly for yard work. Algebra is used in chemistry, calculus, figuring out how interested is collected and paid (might be important to know how much that new house really costs), etc. You want to paint your house? Want to know how much paint to buy? Use algebra. Good luck with finding more real life situations, they are all over the place.
What would 80000 gallons of water fill?
No one knows what it would fill but it's provocative it gets the people going!
Why does a triangle always tesselate?
If you take two triangles, turn one over and bring them together, they will form a parallelogram. Lots of parallelograms can be lined up to form a strip of uniform width. Lots of parallel strips will fill an area. Tessellation!
A large pipe can fill a pool in 9hrs if a large and a small pipe can fill this pool in 6 hrs when used togheter how long would it take the smaller pipe to fill the pool alone?
large fills 1/9 per hour, large and small fill 1/6 per hour so small fills 1/6 - 1/9 per hour, ie 1/18, so small alone would take 18 hours.
How many 12inx12in pavers is required to fill in a walkway area of 30ft?
how many 12 in by 12 in pavers is required for30 square feet
How many 18x18 inch pavers does it take to cover a 14'x14' area?
18" is 1.5', so we can discover the number of square feet in one paver by multiplying 1.5 x 1.5 = 2.25 square feet. To fill an area of 14' x 14', or 196 square feet, you would need 196 / 2.25 = 87 pavers, with room for .11 pavers left over. So to cover it completely, 88 pavers would do the trick.
How many 6x9 pavers needed to cover 90 square feet?
In theory the answer is 240 tiles but this assumes that the area is "well behaved" and, if not, that you are prepared to use all the offcuts to fill bits in mosaic-style. A shape which in 17 inches wide, for example, will require a lot more pavers.
How many pavers do you need for 225 square feet and pavers are 16x8?
A 16 inch by 8 inch paver is 128 square inches which is equal to .89 square feet. Since a square foot is 12 inches by 12 inches which when multiplied equals 144 square inches, so 128 divided by 144 = .88888... or .89. so 225 square feet divided by .89 square feet per paver = 252.8 pavers or 253. Depending on pattern and outline you should probably add up to 10% for waste if the area will require a lot of cuts. If it is a simple rectangle laid parallel to sides then add as little as 2%or less for waste and edge fill in. So maximum of 278 to minimum of 253.
How many 1 square feet blocks do you need to fill a 10 feet by 10 feet area?
100
How many 9 inch By 6 inch pavers to cover 300 sq feet?
In theory the answer is 800 tiles but this assumes that the area is "well behaved" and, if not, that you are prepared to use all the offcuts to fill bits in mosaic-style. A shape which in 17 inches wide, for example, will require a lot more pavers.
How many pavers do i need to fill in a 130sq' area?
The answer will depend on the size of the pavers. To some extent, the answer will also depend on the shapr that you are filling. That will impact on the number of pavers you will need to cut and so the possible wastage.
How can I effectively incorporate gravel with pavers in my outdoor landscaping design?
To effectively incorporate gravel with pavers in your outdoor landscaping design, start by outlining the area where you want to place the pavers. Next, fill the outlined area with a base layer of gravel to provide stability and drainage. Then, lay the pavers on top of the gravel, making sure they are level and evenly spaced. Finally, fill the gaps between the pavers with more gravel to create a cohesive and visually appealing design.
Need to fill a square 2 feet by 2 feet What was the area filled?
Almost exactly 2 x 2 ft2
How much fill dirt is needed to cover 250 square feet?
The answer will depend on the depth to which the area is covered.
How many liters does it take to fill 10500 square feet?
It depends on how high you would like to fill it. You see, a liter is a 3-dimensional measure of volume (like a cubic foot is), and a square foot is a 2-dimensional measure of area. So, for example, to fill an area of 10,500 square feet to a height of 1 foot, you would need 297,326.889 liters.
If you have an area of 1344 square feet to fill up how many 12X12 inch tiles do you need?
1344. Each tile is a square foot.
