The area of a bookmark is 140 square centimeters. The perimeter is 54 centimeters. What are the dimensions of the bookmark?

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

Recall that all the sides of the square are equal

Hence;

Area of a rectangle= l * b ------- equation 1

Perimeter of a rectangle = 2(l + b)----------equation 2

Area of the rectangle = 140 square centimeters

140 = lb

l = 140/b

Perimeter of the rectangle =  54 centimeters

substituting l = 140/b into equation 2

54 = 2(140/b + b)

Multiplying through by b

54b = 280 + 2b^2

Hence;

2b^2 - 54b + 280 = 0

Solving the quadratic equation

b=20 or b=7

substituting b=20 or b=7 into l = 140/b

l = 140/20 or l = 140/7

l = 7 or 20

THEREFORE;

b=20 cm or b=7 cm

l = 7cm or 20cm


Related Questions

Solve the right triangle. Round decimal answers to the nearest tenth. I can´t figure out KL and ML.

Answers

Answer:

Me to I need that Answer en m<k is 50°

Step-by-step explanation:

The measure of KL is 5.1 unit and the measure of ML is 6.1 unit.

What are trigonometric ratios?

The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given that, MK=8 units, ∠M=40° and ∠K=50°.

We know that, sinθ=Perpendicular/Hypotenuse

Now, sin40°=KL/8

0.6427=KL/8

KL=0.6427×8

KL=5.1 units

sin50°=ML/8

0.7660=ML/8

ML=6.1 units

Therefore, the measure of KL is 5.1 unit and the measure of ML is 6.1 unit.

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Tell which term you would add or subtract on both sides side of the equation so that the variable is only on one side.
7X – 1 = 2x + 5

Answers

Answer:

x=6/5

Step-by-step explanation:

Help please
I need the correct answer to this pic
I will mark you brainliest for this correct answer

Answers

Answer:

the answer is B hope this helps you out

You randomly choose one shirt from the shelves.
Find the probability of the event.
The probability of not choosing a white shirt is ??

Answers

Answer:

9/10

Step-by-step explanation:

Total number of shirt = 10

No. of white shirt = 1

Probability of not choosing a white shirt = 1- 1/10 = 9/10

Which function rule for points would create the translation shown above?
(x, y) + (x+4, y+3)
(x, y) + (x-4, y-3)
(x, y) + (x+10, y+7)
(x, y) + (x-10, y-7)

Answers

Answer:

Option A

Step-by-step explanation:

Coordinates of the given points A and A',

A → (-6, -2)

A' → (-2, 1)

Rule for the translation of point A to A',

A(-6, -2) → A'(-6+h, -2+k)

Since, coordinates of A' are (-2, 1)

Therefore, -6 + h = -2

                  h = 6 - 2 = 4

And (-2 + k) = 1

        k = 3

Therefore, rule for the translation will be,

(x, y) → (x + 4, y + 3)

Option A will be the answer.

help me please for points​

Answers

Answer:

the answer is c

Step-by-step explanation:

2/5=.4

4/8=.8

.4 is smaller than .8

Answer:

C

Step-by-step explanation:

2/5= 0.4

1/10= 0.1

4/5= 0.8

Last one for this test

Answers

Answer:

1) 0

2) 0

3) 0

Explanation:

y


x

If
y
=
45
when
x
=
81
find,
y
when
x
=
225

Answers

Answer:

y = 75

Step-by-step explanation:

Given that:

   y [tex]\alpha[/tex] [tex]\sqrt{x}[/tex]

⇒ y = k[tex]\sqrt{x}[/tex]

where k is the constant of proportionality.

When y = 45, x = 81, then;

45 = k[tex]\sqrt{81}[/tex]

45 = 9 k

k = [tex]\frac{45}{9}[/tex]

  = 5

k = 5

So that,

y = 5[tex]\sqrt{x}[/tex]

the value of y when x = 225 is;

y = 5[tex]\sqrt{x}[/tex]

  = 5 x [tex]\sqrt{225}[/tex]

  = 5 x 15

y = 75

what's is m when u are looking for x or y intercept​

Answers

Answer:

Slope.

Step-by-step explanation:

mx+b

Answer:

Slope

Step-by-step explanation:

The equation of lines are normally formatted in "slope-intercept form"

(y = mx + b)

The b in the equation would be the y-intercept of the line.

The m represents the slope.

The x and y can be replaced with any x and y value from the line (if necessary)

avani has an action figure collection of 500 action figures. she keeps some in a display case and the rest on the wall. she keeps 57% of her action figures in the display case. how many action figures does she keep on her wall?

Answers

Answer:

its 57 she has 57 on her wall

Step-by-step explanation:

What congruence criterion shows that
A ACE A BCD
?
E
B
A
D
AAS
SAS
HL
O ASA

Answers

Answer:

SAS

Step-by-step explanation:

It shows that triangle ACE and BCD are congruent by

SAS axiom

HOPE IT HELPS :)

by sas

EC=CD[GIVEN]

AC=CB(GIVEN)

<ECA=<BCD()VERTICAL OPPOSITE ANGLE

Barton has 4 strawberries and Ona has 8. If they want to redistribute their strawberries so they each have an equal number, how many strawberries should Ona give to Barton? There are a total of strawberries. There are a total of people. The expression to find the mean, or balance point, is . should give 2 strawberries to for the number of strawberries to be balanced.

Answers

Answer:

2 strawberries

Step-by-step explanation:

Given that:

Number of strawberries :

Ona has 8

Barton has 4

For both Ona and Barton to have the same Nunber of strawberries :

(Ona + Barton) /2 = (8 + 4) / 2 = 12 /2 = 6

That means both Ona and Barton will have 6 strawberries each

Hence,

Barton who has 4 strawberries needs 2 more while Ona who has 8 will give out 2

Hence, Ona should give two strawberries to Barton.

Answer:

total strawberries 12

total 2 people

expression to find the mean 12/2

ona should give barton 2 strawberries so the number balance's out

Step-by-step explanation:

ywww trust me

Jayden goes to the market and purchase some fruit . There are 10 pieces of fruit in the basket including 4 apples. What is the probable that a randomly selected piece of fruit will be an apple

Answers

Answer:

4/10

Step-by-step explanation:

total number of fruit pieces : 10

number of apple pieces : 4

probabilty of ( picking and apple ) =  favourbale outcomes / total outcomes

= 4/10

what is a ratio that compares quantities with unlike units of measures

Equivalent Ratios
Unit
Unit Price
Rate
Ratio
Ratio table
Terms

Answers

The answer would be rate
the asnwer would be rate

The two lines below are parallel. If the slope of the red line is 3, what is the
slope of the green line?

Answers

Answer:

3

Step-by-step explanation:

since they are parallel the slopes are the same

The sum of two numbers is 48.if the smaller number is subtracted from the larger the difference is 12 find the number

Answers

Answer:

18

Step-by-step explanation:

30 + 18 = 48

30 - 18 = 12

Both true, so our solution is correct.

The value of the larger number is 30 and the value of the smaller number is 18.

What is a number system?

A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set in a consistent manner using digits or other symbols. In different numeral systems, the same sequence of symbols can represent different numbers.

Given that the sum of two numbers is 48. if the smaller number is subtracted from the larger the difference is 12. The two numbers will be calculated as,

x + y = 48

x - y = 12

________

2x = 60

x = 30

y = 30 - 12

y = 18

Therefore, the value of the larger number is 30 and the value of the smaller number is 18.

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Plz help me I need this stuff plz

Answers

sorry i want get points

What is the Volume for the prism ???please help me Im really confused

Answers

The volume of a prism is 819 cubic centimeters

HELPPPPP!
Seven more than the product of 7 and Craig's score

Answers

Answer:

14

Step-by-step explanation:

7+7

Let’s say Craig’s score is x...

Product = multiplication

So...

7x+7

;)

You roll a 6-sided die.
What is P(5)?
Write your answer as a fraction or whole number.

Answers

Answer:

1/6

Step-by-step explanation:

there is one 5 on the die. therefore the chance of rolling a 5 is 1/6

The required probability P(5) = 1/6.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

The die has only one 5 on it.

The number of favorable outcomes = 1

There are the total outcomes as {1, 2, 3, 4, 5, 6}

So the total number of outcomes = 6

Required probability P(5) = 1/6

Hence, the chance of rolling a 5 is 1/6

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Identify the excluded values of this product. Then rewrite the product in simplest form.

Answers

Answer:

2y+10/y

Step-by-step explanation:

Plato

Answer:

2(y+5)/y

Step-by-step explanation:

edmentum

A random sample of students were asked whether they prefer milk juice or water is it results are summarized in the table.

Answers

Answer:

C

Step-by-step explanation:

The probability of students response is milk is 0.311.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

The table shows the students preference of milk, juice or water.

Total number of students preferred milk = 14

Total number of students = 45

Thus the probability that the students response is milk is

[tex]P(e)=\frac{14}{45}[/tex]

⇒ [tex]P(e)= 0.311[/tex]

Hence  we can conclude that the probability of students response is milk is 0.311.

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what is 11/9 simplified

Answers

Answer:

as a mixed number 1 2/9

A line with what type of slope contains the points (-2, 5) and (-2, 6)?

Answers

Answer:

undefined

Step-by-step explanation:

To find the slope

m = ( y2-y1)/(x2-x1)

   = ( 6-5)/( -2 - -2)

   = (6-5) /(-2+2)

    = 1/0

We cannot divide by zero, so the slope is undefined

y = x + 2
y = 3x - 2
O A. (2, 4)
B. (4,2)
C. (0,2)
D. (0,-2)

Answers

Answer:

A

Step-by-step explanation:

Solve the linear equation x - 9= 3/5x
(Please put your answer as a decimal.)

Answers

Answer:

22.5

Step-by-step explanation:

Answer:

x = 22.5

Step-by-step explanation:

x - 9= 3/5x

3/5x - x = -9

-2/5x = -9

x = 22.5

If paintbrushes cost $1.50 each and canvases cost 6 times that much, which of the following
represents the cost, in dollars, of p paintbrushes and c canvases ?

Answers

Answer:

$9 each

Step-by-step explanation:

1.50 x 6 = 9, so c (canvases) are 9 dollars and p (paintbrushes) are 1.50

(what were the "which of the following" options?)

Answer:

the answer is 9

$1.50 +  $1.50 +  $1.50 + $1.50 +  $1.50 +  $1.50 = 9

Step-by-step explanation:

A Triangle Has A Base of X 1/2m and a height of X 3/4m. If the area of the triangle is 16m^2, what are the bade and height of the triangle

Answers

Answer:

B

Step-by-step explanation:

Someone HELP ME PLS!!!

Answers

Answer:

15.9 ft.

Step-by-step explanation:

Hope this helps dude

Guided Practice


Find the distance you can see to the horizon from a height of 100 feet. Use the formula d = 1.5h⎯⎯⎯⎯⎯⎯⎯√ to approximate the distance d in miles to a horizon when h is the height in feet of the viewer's eyes above the ground. Round your answer to the nearest mile.


A.
12 mi


B.
10√1.5 mi


C.
13 mi

Answers

Answer:

A. 12 mi

Step-by-step explanation:

A.

12 mi

d===≈≈1.5h⎯⎯⎯⎯⎯⎯⎯√1.5•100⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯√150⎯⎯⎯⎯⎯⎯√12.24712

The distance to the horizon is about 12 miles.

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