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

Simplify so it's in slope-intercept form (y=mx+b)

y - 125 = 55(x - 2)

Answers

Answer:

y = 55x + 15

Step-by-step explanation:

i think this is it, but it might not be right

This recipe makes 18 cupcakes. Deepak only wants to make 12 cupcakes. How much of each ingredient does he need? Recipe: Makes 18 cupcakes 12 ounces butter 6 ounces sugar 9 ounces flour 3 eggs

Answers

Deepak only needs to use 2/3 of the recipe if he only wants to make 2/3 of the amount it produces.

12/3 = 4 ounces of butter per 6 cupcakes
6/3 = 2 ounces of sugar per 6 cupcakes
9/3 = 3 ounces of flour per 6 cupcakes
3/3 = 1 egg per 6 cupcakes

You then need to multiply all of those answers by 2 to get the answer for 2/3 as those are the answers for 1/3.

4x2 = 8 ounces of butter
2x2 = 4 ounces of sugar
3x2 = 6 ounces of flour
1x2 = 2 eggs

the _________ is a number that is multiplied. the number that indicates how many times this number is used as a factor is the ___________

Answers

The  base   is a number that is multiplied. The number that indicates how many times this number is used as a factor is the  exponent  

For example, the number 2^3 expands out to 2*2*2. We have three copies of the base '2' being multiplied.

Another example: 5^2 = 5*5.

Answer:

The "Factor" is a number that is multiplied. The number that indicates how many times this number is used as a factor is the "Exponent".

Step-by-step explanation:

Example: 7 • 7 can be written as 72, 7 is the base and 2 is the exponent. The exponent 2 means there are two factors.  

Hope it helped : )

answers for both boxes for 25 points​

Answers

Step-by-step explanation:

gave you in Photo..... please do mark as brainlist

A 12-foot ladder is placed 4 feet away from a house as shown.

A 12 foot ladder is leaning against a house to form angle x. The distance between the house and the bottom of the ladder is 4 feet. The angle between the house and the ground is 90 degrees.

What is the value of x, rounded to the nearest degree?

x ≈
°

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.

Is this ladder being used safely?

Answers

Answer:

#1.

cos(x) = adjacent/hypotenuse = 4/12 ≈ 0.3333  ⇒ x ≈ 71°

#2

71° is  between 70° and 75°, so the answer is yes, the ladder being used safely.

Step-by-step explanation:

Answer:

71

yes

Step-by-step explanation:

Just did it, have a good day!

SWEET POINTS IF YOI TELL ME WHAT THIS IS !!

Answers

Answer:

Area of circle

Step-by-step explanation:

No matter what, area stays the same

a b c or d help me plzz

Answers

Answer:

D

Step-by-step explanation:

Answer:

The correct answer is D

Step-by-step explanation:

pls put me as brainly

Write 70 cm as a fraction of 4.2 m. Give your answer in its simplest form.

Answers

Answer:

1/6

Step-by-step explanation:

First convert 4.2m to cm

100cm = 1m

x = 4.2m

x = 4.2 * 100

x = 420cm

70cm to 420cm = 70/420

70/420 = 7/42

7/42 = 1/6

Hence 70 cm as a fraction of 4.2 m is 1/6

PLEASE HELP ME WITH THIS​

Answers

Wha do u need help with

What is the value of x?

Answers

Step-by-step explanation:

i hope u got it ....

thank u!!

. Evaluate 8^0 helppp please

Answers

Answer:

1

Step-by-step explanation:

[tex] {8}^{0} = 1 \\ [/tex]

Any number raised to zero is always equal to one.

Solve for ddd. 6d-\dfrac{11}2=2d-\dfrac{13}26d− 2 11 ​ =2d− 2 13 ​ 6, d, minus, start fraction, 11, divided by, 2, end fraction, equals, 2, d, minus, start fraction, 13, divided by, 2, end fraction d=d=

Answers

Answer:

[tex]d = -\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]

Required

Solve for d

[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]

Collect Like Terms

[tex]-2d + 6d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]

[tex]4d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]

Take LCM

[tex]4d=\dfrac{-13+11}{2}[/tex]

[tex]4d=\dfrac{-2}{2}[/tex]

[tex]4d = -1[/tex]

Make d the subject

[tex]d = -\dfrac{1}{4}[/tex]

Determine whether each number is a solution of the
given inequality.

3y - 8 > 22
when y = 2

O YES (y = 2 is a solution of the inequality)
O NO (y = 2 is not a solution of the inequality)

Answers

Answer:

no

Step-by-step explanation:

as if the answer is 2 then the left hand side is less than the right and the equation states that the left is ment to be greater

A stainless steel patio heater is a square pyramid. The length of one side of the base is 24.4 in. The slant height of the pyramid is 90.4 in. What is the height of the​ pyramid?

Answers

Answer:

89.57in

Step-by-step explanation:

Given the following

Slant height of the pyramid l = 90.4in

Length of one side of the base b =24.4in

Required

Height of the pyramid H

To get the height we will use the Pythagorean theorem as shown

l² = h²+(b/2)²

Substitute the given values

90.4² = h²+(24.4/2)²

90.4² = h²+12.2²

h² = 90.4²-12.2²

h² = 8023.32

h = √8023.32

h = 89.57in

Hence the height of the pyramid is 89.57in

Write an equation of a line that passes through the point (-2,3) and is perpendicular to
the line x = 4

Answers

Answer:

y = 3

Step-by-step explanation:

x = 4 has an undefined slope meaning on a graph the line is vertical. In order to form a line perpendicular to this, we need a line with zero slope (horizontal line). We need to look strictly at the y coordinate to help determine the equation. In this case, we have a y coordinate of 3. Therefore, the equation will be y = 3.

pls guys help me
The value of the expression StartFraction 2 x squared Over x EndFraction plus x (100 minus 15 x) when x = 5 is

119.
129.
135.
145.

Answers

129 im pretty sure is the answer
135

I did it on paper just because fractions are weird to type...

help pls

Find the solution of this system of equations
8x - 5y = -25
-2x - 5y = -25
Enter the correct answer.

Answers

Answer:

x=0 and y=5

Step-by-step explanation:

8x-25+2x=-25

The wildflowers began blooming by my house at the beginning of March. The first week there were 88 blooms. After week two, there were 176 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 6 weeks?

Answers

Answer:528

Step-by-step explanation:

This one is just like the other one but different numbers. if you add 88 and 88 you get 176 so that means 88 blooms each week soooooo if you multiply 88 x 6 you would get 528

Select the correct answer.
The function g(x) = x^2 is transformed to obtain function h:

h(x) = g(x) + 1.

Which statement describes how the graph of h is different from the graph of g?

A. The graph of his the graph of g vertically shifted up 1 unit.

B. The graph of his the graph of g vertically shifted down 1 unit.

C. The graph of his the graph of g horizontally shifted left 1 unit.

D. The graph of h is the graph of ghorizontally shifted right 1 unit.

Answers

Answer:

A. The graph of his graph of g vertically shifted up 1 unit.

Step-by-step explanation:

h(x) = g(x) + 1

h(x) = x² + 1

The graph shifted up 1 unit.

Answer:

A. The graph of his graph of g vertically shifted up 1 unit.

Step-by-step explanation:

h(x) = g(x) + 1

h(x) = x² + 1

The graph shifted up 1 unit.

I need help!!!!!!!!!!!!!!!!!!!!!!!!!!!! :)

Answers

Answer:

[tex]\frac{log(x + 2)}{log4}[/tex] is the correct answer

Step-by-step explanation:

The formula for change of base in logarithm is given by,

[tex]logba = \frac{logc a}{logc b}[/tex]

If we take the common base as 'e' , the formula becomes,

[tex]logba = \frac{log a}{log b}[/tex]

Applying this formula,

[tex]log4(x + 2) = \frac{log(x +2)}{log4}[/tex]

∴ As the first option matches with our answer, hence it is the correct answer.

( In the fourth option a bracket is missing, so it is not the correct option)

what is {1x+89x(8+29x)}{2x+89x(x+9)}

Answers

Answer:

229709x^4+2136000x^3+572539x^2

Step-by-step explanation:

Answer to your question


Please help I’ll give brainlist

Answers

Answer: v = 12

Step-by-step explanation:

the answer is v=12 hope it helps


What is the volume of the figure? Enter the answer in the box.

Answers

Answer: 2, 700 cubic ft.

Step-by-step explanation:

2420  + 280 = 2, 700

The formula for volume = Length x Width x Height (L x W x H)

11 x 10 x 22 = 2420

7 x 4 x 10 = 280

2420 + 280 = 2, 700

Hi Thank you!
Have to write 20 letters lol

Answers

Answer:

I think this is free points?

Thanks!

Step-by-step explanation:

            May I have brainiest please I'm trying to level up!

                       </3 PureBeauty

Andres is running a race that is 13.1 miles long. He has already run 1.1 miles.
Which equation and solution correctly represent how many miles, m , Andres has left to run?

Answers

m=13.1-1.1
m=12 miles

Please help me I will give you bring me if it’s right

Answers

Answer:

Yuor answer is X

Step-by-step explanation:

Could you help me on this, I need to submit soon as well :)

Answers

Answer:

6

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

Please help, this is called Writing Equations

Answers

Answer:

4n - 4 = 14

Step-by-step explanation:

Evaluate (1/3)^3 from Brainly

Answers

Answer:

1/27

Step-by-step explanation:

(1/3)^3 = (1/3)(1/3)(1/3) = 1/(3x3x3) = 1/27

I hope this helped, and if it did, please mark this as brainliest! Thanks!

Answer:

simplified: 1/27

rewritten: 3^-3

Step-by-step explanation:

You take a taxi for a distance of 4 miles. You paid $6 for the trip Your friend uses the same taxi company to travel 10 miles , and pays 10.50. How much does the taxi company charge per mile, how much is the taxi company’s initial fare? And how much would the company charge for a 15 mile trip?

Answers

Answer:

1.12 dollers per mile

basic fee is 1.52 dollars

15 mile thing is 18.32 dollars

Step-by-step explanation:

branilest? PLEASE

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