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

Of the 90 gallons of water the average uses each day, 30% is used outdoors mason wants to know how much water is used outdoors?

Answers

Answer:

Step-by-step explanation:

J

Answer:

90*0.3= 27 gallons of water are used outdoors each day

If the graph of f(x)= 3^x is reflected over the x-axis, what is the equation of the new graph?

Answers

Answer:

g(x) = - 3^x

Step-by-step explanation:

Reflection over x-axis results in:

f(x) → - f(x) translation

Therefore the new function is:

g(x) = - 3^x

Calculate these, and write each awnser in Standard Form.

Answers

Step-by-step explanation:

Do you need answers to all of them of some of them?

1. (4.5×10¹²)÷(9×10^10)

(45×10^-1×10¹²)÷(9×10^10)

(45×10¹¹)÷(9×10^10)

(45÷9)×(10¹¹÷10^10)

5×10

if you need help with the others kindly let me know

a company can buy packages of 500 sheets of paper for $4. At this rate, how much paper can bet bought for $2000​

Answers

Answer:

2000/4×500=250000sheets

Step-by-step explanation:

54 is the quotient of 11 and a number

Answers

Answer:

594

Step-by-step explanation:

54 * 11 = 594

54 Is the quotient of 11 and 594 because 594 divided by 11 is 54.

(sorry if this is incorrect, i may had misinterpreted the question)

Answer:

11/54

Step-by-step explanation:

54 is the quotient of 11 and a number

Let the number be x

11/x = 54x = 11/54

The number is 11/54

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:

does the graph represent a function?

Answers

Yes it does
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Please help me I'm really confused on how you figure these out ​

Answers

Answer:

i think it is not related

Step-by-step explanation:

hope this helps <3

If you can help I’m still learning

Answers

Answer:

It’s +16

Step-by-step explanation:

HELP PLS
The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.

Date
Closing amount (in points)
01/27 13,895.98
01/28 13,881.93
01/29 13,954.4
01/30 13,860.42

Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
a loss of 93.98 points
a loss of 72.47 points
a gain of 72.47 points
a gain of 93.98 points

Answers

Answer:

a loss of 72.47

Step-by-step explanation:

I got this answer right on my test

Which of the following shapes are rectangles? Choose two answers!!!! Please helpppp !!!!!!!!!!!!!!

Answers

Answer:

A&D

Step-by-step explanation:

Answer:

A. and C.

Step-by-step explanation:

because 2, 2 sides are equal of four line boxes


Group of answer choices

24

25.7

28.1

29.8

Answers

Answer:

b i think

Step-by-step explanation:

Raphael purchases a new DVD at M-Mart. He
pays 8% in tax on the cost of the DVD. If the tax
amount is $1.20, how much does Raphael
spend on the DVD, including tax?

Answers

Answer:

The amount Raphael spend on DVD including tax is $16.2

Step-by-step explanation:

Tax on DVD = 8%

Amount of tax = $1.20

We need to find the amount Raphael spend on DVD including tax.

Let the cost of DVD = x

We can write the equation: [tex]8\%\:of\:x=1.20[/tex]

Because the tax amount is 8% of actual cost and is equal to 1.20

Now solving to find x:

[tex]8\%\:of\:x=1.20\\8\%\times\:x=1.20\\\frac{8}{100}\times x=1.20 \\x=1.20 \times \frac{100}{8}\\x= 15[/tex]

So, the cost of DVD = $15

Now, The amount Raphael spend on DVD including tax = Cost of DVD + Tax

The amount Raphael spend on DVD including tax = 15 + 1.2

                                                                                    = 16.2

So, The amount Raphael spend on DVD including tax is $16.2

PLSSSS HELPPPPPP!!!!!

Answers

Answer: Gordon Types 74 words per minute

They type 74 words per minute hope this helped

please help stuck on this question

Answers

A. 150 I believe is correct because the angle of 8 is 150 right? Well if 5 is on the opposite side of 8 with the SAME ANGLE you would have the same equaling number. Therefore try A. Sorry if that’s wrong

Answer:

C) 30

Step-by-step explanation:

As, angle 8 = 150°

So angle 6 = 30°

As, they are supplementry to each other

Now, Angle 5 + Angle 6 = 180°

So,as angle

So, Angle 5

Angle 5 + 30° = 180°

Angle 5 = 180° - 30°

Angle 5 = 150°

So therefore, Angle 5 = 150°

9 ,6 ,3, 0, -3, -6

b) Work out, in terms of n, the nth term of the sequence.

Answers

The answer is -3n + 12

1. An initial population of 10 cats triples every year. How many cats will there be in 5 years? Make a table and
graph your results.

Answers

Answer:

150

Step-by-step explanation:

file is graph

If the sales tax rate is 8%, how much tax would Luis pay for a pair of pants for $18 and two shirts for $9.99 each?

Answers

Answer:

$3.04 (rounded to nearest cent)

Step-by-step explanation:

Total cost without tax = $18 + $9.99 × 2

                                    = $37.98

Tax = [tex]\frac{8}{100}[/tex] × $37.98

      = $3.04 (rounded to nearest cent)

What is true about 3×9, guys can you help I a little confused

Answers

Answer:

27

Step-by-step explanation

have a great day

Answer:

3*9=27

Step-by-step explanation:

The thing that is true about 3*9 is that it is also equal to 9*3.

Hope this helped!! :)

help please i’ll give brainliest.

ΔABC is similar to ΔFED. Answer the questions to find the length of DF .


1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.


2. Which side in ΔFED does CB in ΔABC correspond to?

Answers

Step-by-step explanation:

ΔABC is similar to ΔFED.

AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.

Hence side AB corresponds to side FE.

CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.

Hence side CB corresponds to side DE.

Answer:

1.  EF in ΔFED corresponds to AB in ΔABC.

2. DE in ΔFED corresponds to CB in ΔABC.

3. The length of DF is 10.

Step-by-step explanation:

Given: ΔABC is similar to ΔFED. Find the length of DF.

To Find: The length of side DF in ΔFED

Since, ΔFED is a right-angled triangle and also similar to ΔABC,

Applying similarity of triangles principle,

AB = 4  ,  EF = 8

BC = 3  ,  DE = 6

Now, applying Pythagorean theorem on ΔFED,

Hypotenuse² = Length² + Base²

⇒ DF² = DE² + EF²

⇒ DF² = 6² + 8²

⇒ DF² = 100

⇒ DF = √100

⇒ DF = 10

Final Answer: Hence the length of side DF is 10.

HELP Help Please

The volume V of a balloon varies directly with the cube of its radius R. If the volume is 113 cubic inches when the radius is 3 inches, find the formula for the volume.

Answers

Answer:

l × b is the correct answer for this question

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Answers

Answer:

(9t/4)

Step-by-step explanation:

HERE'S UR ANS...FRND...

T×9

=

4

9T

=

4

I DONT WANT BRAINLIEST....I ONLY WANTED UR SATISFACTION....

HOPE IT HELPS...

Factor the expression completely. 54 – 24x​

Answers

Answer:

6(9-4x)

Step-by-step explanation:

Factor 6 out of 54-24x, or group and factor out the GCF. Hope this helps!

9 9/25 in decimal form

Answers

Answer:

9.36

Step-by-step explanation:

Answer:

9 divided by 25 = 0.36

9[tex]\frac{9}{15}[/tex]= 9.36

Step-by-step explanation:

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Answer:

sorry it's too late my friend

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Answer:

its the second i hope that helped

Estimate the difference

2.8/9 - 2. 7/1


A. 2

B. 1

C. 0

Answers

Answer:

C. 0

because 2.8/9 <1

and 2.7>1

so 2.8/9 -2.7 <_ 0

–7 y = –28


Answer:
y = ?

Answer the ? Mark pls

Answers

Answer:

y=4

Step-by-step explanation:

-28 divided by -7 equals to 4

Hope this helps!!

Answer: y = 4

Step-by-step explanation:

-7y/-7 = -28/-7 So, Both the -7's cancel out and your left with y= you divide -28 by -7. When you divide both of the numbers you get a positive 4.

Solve number 1 that is in the image

Answers

Answer:

120, 15

Step-by-step explanation:

Answer:

15,120

Step-by-step explanation:

x-axis-15(read vertically)

y-axis-120(read horizontally)

PLEASE HELP I HAVE 10 MINUTES ILL MARK YOU BRAINLIEST

Answers

Answer:

There are no questions available in this question.

Step-by-step explanation:

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