A rectangular sheet of paper has a perimeter of 60cm. When it is folded in half along its longer line of symmetry, the perimeter of the rectangle which this creates is 49cm. What are the dimensions of the original shape?

Answers

Answer 1

Answer:

Dimensions of the original rectangle:

Length = 19 cm

Width = 11 cm

Step-by-step explanation:

Let

Length = x

Width = y

Original rectangle:

2(Length + width) = 60

2x + 2y = 60

New rectangle has same length with original rectangle but half of the width of the original rectangle when folded

Length = x

Width = 1/2y

2(Length + 1/2width) = 49

2x + y = 49

2x + 2y = 60 (1)

2x + y = 49 (2)

Subtract (2) from (1) to eliminate x

2y - y = 60 - 49

y = 11

Substitute y = 11 into (2)

2x + y = 49

2x + 11 = 49

2x = 49 - 11

2x = 38

x = 38/2

x = 19

Dimensions of the original rectangle:

Length = 19 cm

Width = 11 cm


Related Questions

When converted to speeds, which list is in order from slowest to fastest?

Answers

Answer:

The first one, can i get branliest?

Step-by-step explanation:

Answer:

17 miles in 2 minutes;

26 miles in 4 minutes;

33 miles in 6 minutes;

60 miles in 8 minutes

Step-by-step explanation:

I need help with geometry

Answers

Answer:

45 is the answer

Step-by-step explanation:

first you have to know the sum of interior angle of that pentagon (540)

then add the all angle.

148 + x + 112 + 90 + 3x + 10 = 540.

or, 360 + 4x = 540

or, 4x = 540 - 360

or, 4x = 180

or, x = 180/4

or, x = 45

hope it will help you☺✌

the answer is 45 jsjdjdjd

Mo spends £15 on ingredients to make 40 cookies.
He sells all 40 cookies for 50p each.
Work out Mo’s percentage profit.

Answers

first you times 40 by 0.5 = £20
£20 - £15 = £5
therefore £5 profit

9. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!


Write a rule for the linear function in the table.



A. f(x) = 4x


B. f(x) = 4 – x


C. f(x) = x – 4


D. f(x) = x + 4

Answers

9.) Answer: B. f(x) = 4 - x



Explanation/Proof:

If we substitute, the answers are correct.

f(x) = 4 - (1)

f(x) = 3 ✅


f(x) = 4 - (2)

f(x) = 2 ✅


And so on and so forth.

B. f(x) = 4 - x
explanation:
what the other person said :)

There are only black pens and green pens in a box.
The ratio of the number of black pens in the box to the number of green pens in the box is 2:5
What fraction of the pens are black?

Answers

the amount of pens all together is 7, the amount of black pens is 2, therefore answer is2/7 black pens

HELPPPP DUE IN 15 MINS!!!!
Triangles ABC and DEF are similar. Find x.

Answers

Answer:

8.57

Step-by-step explanation:

We can calculate the value of x using similarity ratio

11/7 = (15 + x)/(15) cross multiply expressions

105 × 7x = 165 subtract 105 from both sides

7x = 60 divide both sides by 7

x = 8.57 approximately

Can someone plz help me ?

Answers

Answer:

Slope: −10

y-intercept: (0,60)

Equation: y = −10x + 60

Step-by-step explanation:

Find the equation using point-slope formula.

Use the slope-intercept form to find the slope and y-intercept.

Priya has completed 9 exam questions. This is 60% of the questions on the exam.

How many questions are on the exam? *

A. 12
B. 15
C. 16

Answers

Answer:it’s 15

Step-by-step explanation:because think about it if it was 12 it wouldn’t be 60% it would be 70%

the answer is 15 :)

Please help!

which triangle is similar to ΔABC? and why?

Answers

Answer:

neither. one of them is a right triangle, the other lacks and angle of ∆ABC

Step-by-step explanation:

Select all the situations that describe adding or subtracting opposites to make zero.
7°F increased by 0°F

7°F decreased 0°F

7°F increased by 7°F

7°F decreased by 7°F

-7°F increased by 7°F

-7°F decreased by 7°F

Answers

It would be option number 3 and option number 4
It would be 7 decreased by 7 and -7 increased by 7

In a group of​ bird-watchers, 4 out of every 5 people have seen a bald eagle. What percent of the​ bird-watchers have not seen a bald​ eagle

Answers

Answer:

20%

Step-by-step explanation:

4/5=.80

1-.80=.20

.20=20%

They made $835 in ticket sales

145 people bought tickets

child tickets were $4
adult tickets were $7

how many of each type ticket was sold

Answers

60 adult tickets and 85 in child tickets

3x - 12 = 3x + 1
help please

Answers

Answer:

There's no solution to this equation, when 2 equations have the same slope but different y-intercepts, they're parallel. This means they never intercept and there is NO solution and we can't solve for x.

Find an explicit formula for the geometric sequence 96, 24, 6, 1.5, ....
Note: the first term should be b(1).
b(n)=

Answers

Answer: 96•(1/4)^n-1

Step-by-step explanation:

~
ROB = PTA
True or false

Answers

Answer:

true

Step-by-step explanation:

The answer would be true

can some please help me find the 4th term

Answers

Answer:

11

Step-by-step explanation:

C(4) = -7 + 6(4-1)

C(4) = -7 + 6 x 3 =

C(4) = -7 + 18

C(4) = 11

Hope that helps!

Factor the expression. 63 + 81

wrong answers reported

Answers

Answer:

144

Step-by-step explanation:

63+81=9(7+9)=9(16)=144

Lauren has twelve more than six times as many pencils as her sister. Which expression represents the number of pencils that Lauren has if the variable p represents the number of pencils that her sister has?

Answers

Answer:

Sister: p

Lauren: 12 + 6p

I'LL GIVE BRAINLIEST: Which measurements could create more than one triangle?

A. A triangle with sides measuring 5 inches, 7 inches, and 9 inches,

B. A triangle with sides measuring 8 cm and 12 cm and an included angle measuring 85°.

C. A triangle with sides measuring 50mm and 35mm and a non-included angle measuring 25°.

D. A triangle with sides measuring 5cm, 10cm, and 15 cm.​

Answers

C because this is the only triangle that has a non included angle leaving 145 degrees to create another triangle

Answer:

A triangle with sides measuring 50 mm and 35 mm and a non included angle measuring 25°

Step-by-step explanation:

Because I took the test and got it right

solve it pls. I only need the answer. I’ve already many answers

Answers

Answer: 2x^2t+7xy

Step-by-step explanation:

A square purple rug has a orange square in the center. The side length of the orange square is x inches. The width of the purple band that surrounds the orange square is 12 in. What is the area of the purple band?

Answers

Answer:

578 + 48 square inches

Step-by-step explanation:

The computation of the area of the purple band is as follows:

Area of the green square = side^2 = x^ square inches

And, the area of the orange square = side^2

The side would be = = 12 + 12 +x  = 24 + x

And, now the area would be = (x + 24)^2

Now the area of the orange band is

= Area of the orange square  area of the green square

= (x + 24)^2 - x^2

= x^2 + 24^2 + 48  - x^2

= 578 + 48 square inches

Write an equation of the line with a slope of 23and y-intercept of −8.
y=

Answers

Answer:

y=23x-8

Step-by-step explanation:

Use the formula y=mx+b

y-intercept is b which is -8

the slope is m which is in this case 23

Easy peasy!

8w + 4 > 12, i need help

Answers

8w + 4 > 12

       -4    -4

8w > 8

/         /

8        8

w > 1

W is anything less than 1.

8w + 4 > 12

      - 4   - 4        subtract -4 to both sides.

_________

[tex]\frac{8w}{8}[/tex] > [tex]\frac{8}{8}[/tex]      divide 8 to both sides, 8's will cancel on the left side.

[tex]w[/tex] > [tex]1[/tex]

A sporting goods store is offering a 6% discount on the sale of football jerseys the price of each football jersey is 39.90 before the discount how much will Jason be charged if Jason buys five football jerseys

Answers

Answer: $187.53 with the 6% discount.

3 divided by 8. What is the dividend?

Answers

Answer:0.375

Step-by-step explanation:

What is the dividend? the question

The answer is 2.666
Hopefully it’s right :)

Please help! I will give Brainly (don’t know how to spell the word)

20% of Ms. Royal's students came to class late. If 3 students came late to
class, how many students does Ms. Royal have in her class?

Answers

Answer:

15 students

Step-by-step explanation:

i just used multiplication

Answer:

15 students

Step-by-step explanation:

20% is 1/5

So is 3 is 1/5 you multiply 3 by 5 (since 1/5 is 3 and to find 5/5 its you need a full 5/5)

3*5 = 15

Chris borrows £6000 at a simple interest rate of 10% per year.
He pays the money back after 4 years.
How much does he pay back in total?

Answers

9514 1404 393

Answer:

  £8400

Step-by-step explanation:

The amount due after t years is ...

  A = P(1 +rt)

  A = £6000(1 + 0.10·4) = £6000·1.40

  A = £8400

Chris pays back £8400 in total.

5 movie tickets cost $55. At this rate, what is the cost per ticket?
Please help i really need it

Answers

Answer:

11

Step-by-step explanation:

55/5 equals 11

Answer:

11

Step-by-step explanation:

55 divided by 5 equals 11

The figure below is a net for a triangular pyramid. If all the triangles are equilateral, what is the surface area of the pyramid, in square centimeters? ASAP thanks.

Answers

The Surface area of the pyramid  is 68 square cm

The total surface area of the pyramid

The total surface area is the area of all the triangles

Area of a triangle = 0.5bh

b is the base

h is the height

Given te followin

b = 6cm

h = 5.2cm

Surface area of the pyramid = 5(0.5 * 6 * 5.2)

Surface area of the pyramid = 78 square cm

Hence the Surface area of the pyramid  is 68 square cm

Learn more on surface area of pyramid here: https://brainly.com/question/1296754

A lemonade recipe calls for 1/4 cup of lemon juice for every cup of water what does x represent

Answers

Answer:

X represents the amount of cups of water

Answer:

x represents the number of cups of water.

Step-by-step explanation:

The recipe calls for ¹/₄ cups of lemon juice per 1 cup of water. This means the amount of lemon juice is dependent on the amount of water. In most functions, x is the independent variable and y is the dependent variable. Since the number of cups of lemon juice is dependent on the number of cups of water, the lemon juice represents y...

...and the water represents x.

I hope this helps you understand more! Have a great day!

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