A square of side 72 cm and a rectangle of length 90 cm have same perimeter. Find the difference in areas ?

A)216cm2
B)304cm2
C)324cm2
D)328cm2

Answers

Answer 1

Answer:

324 cm²

Step-by-step explanation:

→ Work out perimeter of square

72 + 72 + 72 + 72 = 288

→ Work out the width of the rectangle

288 - (90 × 2) = 108

108 ÷ 2 = 54

→ Work out area of square

72 × 72 = 5184 cm²

→ Work out area of rectangle

90 × 54 = 4860 cm²

→ Minus the areas from each other

5184 cm² - 4860 cm² = 324 cm²

Answer 2

Answer:

C) 324cm²

Step-by-step explanation:

1) they have the same perimeter so to find it you add all four sides of the square because they are all the same ( 72+72+72+72=288)

2) now you multiply 90 by 2 because the rectanglehas to sides of the same length(90×2=180) the answer you get you are going to subtract to 288 (288-180=108)

3) now divide 108 by 2 (108÷2= 54) the answer you get equals the width of the side of the rectangle

4) to get the area of the rectangle you multiply 54 with 90 (54×90=4,860) to get the area of the square you multiply 72 times 72 (72×72=5,184)

5) now you subtract 5,184 and 4,860 ( 5,184-4,860= 324cm²)


Related Questions

I will mark brainlist for this.

Answers

Answer:

Student B

Step-by-step explanation:

Proportional relationship means that it follows a certain pattern or is constant.

Student B was the only relationship to be constant as it goes by multiples of 6.

Ex. 6, 12, 18, 24, 30.

Answer:

Student B

Step-by-step explanation:

Student B's wages increase by 6 each time, but Students A, C, and D do not steadily increase. The steady increase of 6 for Student B is what makes their wages proportional.

The hypotenuse of a 45°-45°-90° triangle measures 7 StartRoot 2 EndRoot units.

A right triangle is shown. The hypotenuse has a length of 7 StartRoot 2 EndRoot and the lengths of the other 2 sides are congruent.

What is the length of one leg of the triangle?

7 units
7 StartRoot 2 EndRoot units
14 units
14 StartRoot 2 EndRoot units

Answers

Answer:

7 units

Step-by-step explanation:

Given is a 45°-45°-90° triangle.

Measure of Hypotenuse = 7 StartRoot 2 EndRoot units.

In a 45°-45°-90° triangle, measures of perpendicular legs is one upon square root 2 times of the measure of Hypotenuse.

[tex] \therefore \: measure \: of \: one \: leg \\ \\ = \frac{1}{ \sqrt{2} } \times 7 \sqrt{2} \\ \\ = 7 \: units[/tex]

Answer:

A. 7 units 2021 edg

Step-by-step explanation:

Round to two decimal points

Answers

answer is 10.82
use pythagorean theorem

Sandra is making pizzas for a party. each pizza will have 8 slices. she plans on 2 slices per person. if there will be 12 people at the party, how many pizzas should she make?

Answers

Answer:

3 pizzas

Step-by-step explanation:

12 x 2 = 24

24 divided by 8 = 3

3 pizzas hope this helps i’m not good at explaining

round 17.5 to the nearest 1

Answers

Answer:

18

Step-by-step explanation:

.5 is 5 4 and below round down 5 and up round up

If you are good at data and graphs, pls help me! Use the screenshot below!

Answers

Answer:

400

Step-by-step explanation:

How much time has passed?
Start time: 4:45 a.m. End time: 7:25 a.m.

Answers

Answer:

160 mins

Step-by-step explanation:

The manager of the zoo where the ticket price for an adult is $9.50 and the ticket price for a child is $6.50 wants to make at least $800 on a Saturday. Let x be the number of adult tickets and y be the number of child tickets

Answers

Complete Question

The manager of the zoo where the ticket price for an adult is $9.50 and the ticket price for a child is $6.50 wants to make at least $800 on a Saturday. Let x be the number of adult tickets and y be the number of child tickets. Choose the inequality that shows the numbers of tickets that need

A) 9.50x + 6.50y ≥ 800

B) 9.50x + 6.50y < 800

C) 9.50x + 6.50y > 800

D) 9.50x + 6.50y ≤ 800

Answer:

A) 9.50x + 6.50y ≥ 800

Step-by-step explanation:

Let x be the number of adult tickets and y be the number of child tickets

We are told that the zoo wants to make at least $800, this means greater than or equal to $800

Therefore, inequality equation is given as:

$9.50 × x + $6.50 × y ≥ 800

= 9.50x + 6.50y ≥ 800

Therefore option A) 9.50x + 6.50y ≥ 800 is correct.

30) Use the distributive property to solve: 5(x – 2)

Answers

5(x-2) if you use distributive property it changes to 5x-10 and I believe that’s it. You can’t solve it more

Can someone please help me

Answers

Answer:

y=89

Step-by-step explanation:

because if you take y-47 okay then you do 47+42 giving you what that ange is because they are the same angle they should both be 42

Cesar, Carmen, and Dalila raised $95.34 for their tennis team. Carmen raised $12.12 less than Cesar, and Cesar raised $35 more than Dalila.

If x = the amount raised by Carmen, choose the expressions that represent the amount each other player raised.

Answers

Let Cesar's, Carmen's and Dalila's amount be represented by x, y and z respectfully.

Since they're money sum up to $95.34, the first expression will be;

x+y+z=95.34

Carmen_y_ is $12.12 less than cesar_x, so the equation will be ;

y=x-12.12

Cesar_x_raised $35more than Dalila_z. So the equation will be;

x=z+35

making z the subject, z=x-35 .

Substituting the Second equation into the first one, we get;

x+x-12.12+z=95.34

Subtracting the third equation into the new equation we get;

x+x-12.12+x-35=95.34

Simplifying, we get 3x- 47.12= 95.34.

3x=142.46

A cylinder has a radius of 8 cm and a height of 4 cm

Answers

Answer: 8

c

m

=

4

c

m

=

Step-by-step explanation:

help just help me... please

Answers

Answer:

Its going by 3/8.

Step-by-step explanation:

the missing number is 1 5/8. I don't know if I'm right for the second

please actually help me. ill give brainliest if you explain your answer.

Answers

Answer:

subtract 11 from both sides

Step-by-step explanation:

-3x+11=44

-3x=33

x=-11

Answer:

Subtract 11 from both sides

Step-by-step explanation:

[tex]-3x+11=44\\\\Subtract 11 from both sides\\-3x+11-11=44-11\\\\simplify\\\\-3x=33\\\\Divide both sides by -3\\\frac{-3x}{-3} =\frac{33}{-3} \\x=-11[/tex]

what is the the constant of proportionality
X: 0 2 4 6
Y: 0 3 6 9

Answers

X: 2
Y: 3

Why:
2x3=9
3x3=9
So the constant of proportionality it’s 2 and 3

i need help please... 30 points + brainliest if u answer all 5

1. f(x)=x^2−4x, find f(−3)

2. f(x)=x^2−x, find f(−10)

3. f(x)=3x+1, find f(−3)

4. f(x)=4x−2, find f(8)

5. f(x)=x^2+2, find f(0)

Answers

3
-90
1
30
2

If you need to show your work look at the picture

[(0.2x8)+(2.5x3)]+25 help pls

Answers

Answer:

17 is the corect answer

hope this helped

Step-by-step explanation:

The following graph shows the solution to which
inequality?
ANSWER BOTH PLEASE QUICK

Answers

Answer:

B. 5a-9<=11

Step-by-step explanation:

Heres a tip: ALWAYS look at the sign, if there is no line under the sign then it will always always be an open circle. also look at what way the sign is pointing so if the sign is this < then the line will go to the left


Some one help please fast help ASAP

Answers

Answer: (x, y) --> (x, -y)

Step-by-step explanation:

This is a reflection over the x-axis so its only the y-intercept that changes.

Answer:

its a reflection

Step-by-step explanation:

If it were a rotation, it wouldnt have overlapped.

If it were a translation, It would have been the wrong way up and not overlapping.

When reflected over line x, it will overlap because it stays rigid and does not change shape or size.

hope this helps :)

find the nth term of 8, 2, -4, -10,... then find A50

Answers

Answer:

An=8+(n-1)(-6)

=8-6n+6

=14-6n

A50=14-6(50)

= -286

What is Y=3x^2+6x+10 in vertex form.

Answers

Answer:

y=3(x+1)^2+7

Step-by-step explanation:

For each situation, write an expression answering the question. The expression should only
use multiplication,
a. A person's salary is $2,500 per month. She receives a 10% raise. What is her new salary,
in dollars per month?
b. A test had 40 questions. A student answered 85% of the questions correctly. How many
questions did the student answer correctly?
C. A telephone cost $250. The sales tax is 7.5%. What was the cost of the telephone
including sales tax?

Answers

Answer:

The expressions for each statement are as follows:

a: 2500+(0.10*2500)

b: 40 * 0.85

c: 250 + (0.075*250)

Step-by-step explanation:

Part a:

Given

Salary = $2500

Percentage of raise = 10%

The new salary will be:

[tex]= 2500+ (10\%\ of\ 2500)\\=2500 + (0.10*2500)\\=2500+250\\=\$ 2750[/tex]

Part b:

Given

Total questions = 40

Percentage of correct answers = 85%

The required expression for correct answers is:

[tex]= 85\%\ of\ 40\\= 0.85*40\\=34[/tex]

Part c:

Given

Price of phone = $250

Percentage of sales tax = 7.5%

The required expression is:

[tex]Cost\ with\ sales\ tax = 250 + (7.5\%\ of\ 250) \\= 250 + (0.075*250)\\=250+18.75\\=268.75[/tex]

Hence,

The expressions for each statement are as follows:

a: 2500+(0.10*2500)

b: 40 * 0.85

c: 250 + (0.075*250)

5x + 3y = 5
5x + 7y = 25

Answers

Answer:

(-2,5)

Step-by-step explanation:

I need help solving a practice problem ​

Answers

Answer:

17 i think

Step-by-step explanation:

please help ill give brainliest

Answers

Answer: A.) The domain has fewer values than the range, so there must be a domain value which maps to more that one range value. The relation is not a function.


Which number line shows the solution of 4x - 36 <-12?

Answers

B is your answer plz mark brainlyest

Answer: Other guy is right.

Step-by-step explanation:

HURRY I NEED HELP

Does the graph shown below represent Y as a linear function of x
Yes or No

Answers

Answer:

no

Step-by-step explanation:

linear functions have straight lines

so this is not a linear function

Can someone explain to me how I can find the domain and range of a rational graph?
example:

Answers

Answer:

no but try socratic

Step-by-step explanation:

it will help very much;)

What are the values of the expression??

(-10)2 and -102.

Answers

Because of the parenthesis the equation has changed

what is the equation in slope intercept form of a line that has a slope of -1/2 and a y intercept of 6?​

Answers

Answer:

y=-1/2x + 6

Step-by-step explanation:

I can't see the picture because it is blurry but i got y=-1/2x + 6

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