Showing posts with label squarenumbers. Show all posts
Showing posts with label squarenumbers. Show all posts

Sunday, October 31, 2010

Breanna- Scribe 5

For this scribe i had to answer questions 18,20 and 22. Enjoy!

18. The question says if the square floor mat has a side length of 14m, what is the area of the square floor mat in square meters?

Here is my answer:

A=S2
A=142
A=14x14

The area is 196 m2.


20. This questions says that Adams uncle has instructions for building a shed, a page of the insturtions was not as clear as he thought.

a) The question asks for the area of the rectanlge. Here is what i did:

A= LxW
A= 9x4
A= 36m2

The area is 36m2.

b) Now this time is ask`s for the side length of the square, and this is what i tohught of.

I think that the answer will be 6 because when you square 6 it equals 36.

Ex. 2
6 = 36 or 6x6= 36.

22. This question ask for three questions that are connected to to the largest in Beijing that has an area of 396,900 m squared.

a) This question is asking about what the dimenstions on the square are. This is what i did.

630 m by 630 m
=630m squared = 369,000

The answer is 369,000.

b) This question asks if the dimention would be 629 m by 629 m, what would be the answer? I did this.

629 m by 629 m
= 629 squared = 395, 641.

The answer is 395,641.

c) This question is asking if the area is less than 394, 000 but greater than 386,000, what would the dimention between those numbers? I answered like this.

622 squared = 386,884
623 squared = 388,129
624 squared = 389,376
625 squared = 390 625
626 squared = 391,876
627 squared = 393,129

Those are all the whole possible dimensions that I could have.

Here is a link on finding the area of a square or rectangle.
http://http//http//www.ehow.com/how_2256131_calculate-area-square-rectangle.html

and here is a video.


Scribe 6 - 2 Questions From Page 87

In this scribe, I had to pick two questions on page 87 and answer them. These are the two questions I decided to answer:

24. a) What are the next three triangular numbers
10, 15, 21
b) Add together any two consecutive triangular numbers. What do you notice about the sums?
The sums equal perfect squares.
Example, 1+3=4 3+6=9 6+10=16

25. A square digital photo on the computer has an area of 144 cm2.
a) What is the side length of the photo?

The side length of the photo is 12 cm.

b) The photo is enlarged so that the side length is now 36 cm. What is the area of the enlarged photo?

The area of the enlarged photo is now 1296 cm2

c) How many times as large as the original area is the enlarged area?
1296/144=9 The original photos area was enlarged by 9x
d) How many times as large as the original side length is the enlarged side length?
36/12=3 The original photos side length was enlarged by 3x

e) Use what you know about the square root of a perfect square to identify the relationship between the numbers in parts c) and d).




Saturday, October 30, 2010

Scribe Post #3

Show you Know Page 84

Determine the side length of a square with the area of 196cm2.
Prime Factorization:
196cm2 = area
14cm = side length
Side length = Square root
Square root is the number that
multiplied itself equals the
number you are looking for.

196 divided by 14 = 14
14 x 14 = 196

Questions from the text book:

3. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. Use words and/or
diagrams to explain how you know which factor is the square root of 36.
6 is the square root of 36 because 6 is the number that multiplied by itself you get the number your looking for.

7. Determine the prime factorization for each number:

a) Not a perfect square b) Not a perfect square
c) A perfect square

12. Determine the square of each number:

The square of a number is the area.
To get the area of a square you have
to multiply side x side.
a) 3 = side
area = side x side
area = 3 x3
area = 9

b) 18 = side
area = side x side
area = 18 x 18
area = 324

14.Determine the side length for a square with an area of 900cm2.


area = side x side
area = 30 x 30
area = 900cm2
The side length of the square is 30cm2.

Scribe 4

17. A fridge magnet has an area of 54 mm 2. Is 54 a perfect square? Use prime factorization to find the answer.

54=2x3x3x3, No 54 is not a perfect square, its an odd number- factors 2 and 3


19.The gym teacher told the students to run twice around the perimeter of the school field. The area of the square field is 28 900 m 2. What distance did the students run?

1360 m


21.Kate wants to put a patio in her backyard. the patio stones each have an area of 1m 2. she created the rectangular design shown.

A) What is the area of the patio?

B) What are the 5 dimensions of another
rectangular patio she could build
with the same area?

C) Kate decides to make a patio with the
same area but she wants it to be a square
with whole number side lengths. Is this
possible? Explain your reasoning.

A) 56 m 2

B) 7m- 8m This is one set of dimensions for the patio.

C) No its not possible cause 56 is not a perfect square.