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Umnica [9.8K]
3 years ago
5

Critical Thinking Explain how the formulas for the perimeter and area of a square may be derived from the corresponding formulas

for a rectangle.​
Mathematics
1 answer:
vazorg [7]3 years ago
6 0
The formulas for the perimeter and area of a square may be derived from the corresponding formulas for a rectangle because, like rectangles, squares are quadrilaterals, therefore sharing the same formal characteristics as a rectangle. They both contain a pair of lengths and a pair of widths, giving us 2-dimensional figures on a plane.
You might be interested in
This year, a company produced 8 percent more items than last year. If the company produced 243 items this year, how many items d
Ilya [14]

Answer:

Last year company produce 225 items

Step-by-step explanation:

let the number of items produced last year be x

Here we are asked to find the percent increase in the production of the items from last year  

The production for the last year = x

The production for the current year = 243

Total increased production =243-x

Hence percentage calculation = \frac{\increase \in \sale}{\last \year \sale} \times 100 %

Increased percentage = \frac{243-x}{x} \times 100 %

Percentage increased = 8 %

Hence

\frac{243-x}{x} \times 100 = 8

{243-x}\times 100 = 8 \times x

24300-100x = 8x

24300=100x+8x

24300=108x

x= \frac{24300}{108}

x=225

Hence Last year production was 225 items

6 0
3 years ago
The football team has a total of
sergij07 [2.7K]
In the given problem it is already given that the total number of jerseys are 50. Out of them 35 are mid sized jerseys. We can see that all required information's are already present in the problem.
Total number of medium sized jerseys = 35
Total number of jerseys = 50
Percentage of medium sized jerseys = (35/50) * 100
                                                             = 35 * 2
                                                             = 70
So 70% of the jerseys are mid sized jerseys. This is the only way to find the percentage of mid-sized jerseys. I hope this method is clear to you and you can attempt any problem like this in the future.
3 0
3 years ago
Read 2 more answers
PLZ HELP ASAP!! Thanks!​
Oduvanchick [21]
D. You can tell by the opened and closed line dots.
8 0
3 years ago
A triangular college pennant flag has a baes of 12 inches and a height of 30 inches how many square inches of wall space will yo
elena-14-01-66 [18.8K]

Answer:

1080 \ in^2

Step-by-step explanation:

-The cumulative area of the six is equivalent to the sum of their individual areas.

-Area of a triangle is given by:

A=\frac{1}{2}bh\\\\b-base \ length\\h-\perp Height

We substitute  given values in the equation and multiply by the number of pennants:

A=\frac{1}{2}bh\times 6\\\\=\frac{1}{2}\times 12\times 30\times 6\\\\=1080\ in^2

Hence, the total area needed is 1080 \ in^2

4 0
3 years ago
PLEASE HELP ME!!!
Reika [66]

Answer:

Part a) The inequality that models this problem is 2w+2(4w) \leq 106

Part b) The greatest possible value for the width is 10.6 centimeters

Step-by-step explanation:

Part a) Which inequality models this problem?

Let

l ----> the length of the rectangle in cm

w ---> the width of the rectangle in cm

we know that

The perimeter  of the rectangle is equal to

P=2w+2l

Remember that

The term "at most" means "less than or equal to"

so

2w+2l \leq 106 ----> inequality A

l=4w ---> equation B

substitute equation B in the inequality A

2w+2(4w) \leq 106 ---> inequality that model the problem

Part b) what is the greatest possible value for the width?

solve for w

2w+2(4w) \leq 106

10w \leq 106

Divide by 10 both sides

w \leq 10.6\ cm

therefore

The greatest possible value for the width is 10.6 centimeters

6 0
4 years ago
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