Find the dimensions and maximum area of a rectangle if the perimeter is 52

Answers

Answer 1

Answer: l

=

16

,

b

=

10

Explanation:

Step-by-step explanation:

Perimeter of rectangle is  

p

=

2

(

l

+

b

)

=

52

,  

l

is length and  

b

is breadth.

Area of rectangle is  

A

=

l

b

=

160

l

=

160

b

;

2

(

160

b

+

b

)

=

52

or

(

160

b

+

b

)

=

26

or

160

+

b

2

b

=

26

or

160

+

b

2

=

26

b

or

b

2

26

b

+

160

=

0

or

b

2

16

b

10

b

+

160

=

0

or

b

(

b

16

)

10

(

b

16

)

=

0

or

(

b

16

)

(

b

10

)

=

0

b

=

16

or

b

=

10

If  

b

=

16

;

l

=

160

16

=

10

and if  

b

=

10

;

l

=

160

10

=

16

The dimension of rectangle is  

l

=

16

,

b

=

10

[Ans]


Related Questions

Keira is reviewing her checking account statement from the bank. Her starting balance and transactions are listed.
-Starting balance of $49.15.
-Spent $16.23 at Wal Mart.
-Deposit from birthday check of $35.00. -Dinner at Chick-fil-A for $8.34.
-Withdrawal cash at the ATM of $20.
If reconciled, her bank statement should have a balance of
$9.58
$39.58
$79.58
$72.04​

Answers

Answer:

39.58

Step-by-step explanation:

49.15-16.23=32.92

32.92+35=67.92

67.92-8.34=59.58

59.58-20=39.58

Her balance is $39.58

Hope this helps

Answer:

49.15 - 16.23 + 35.00 - 8.34 - 20 = 39.58

What is the value of y in (1/2)x + 3 = (1/3)y - 2 if x = 28/3?

Answers

Answer:

y = 29

Step-by-step explanation:

x/2 + 3 = y/3 - 2

28/3 ÷ 2 = 14/3

14/3 + 9/3 = y/3 - 6/3

23/3 + 6/3 = y/3

29/3 = y/3  ∴ y = 29

A bag contains 6 red and 10 black marbles. If you pick a marble, record its color, and return it to the bag 200 times, how many times can you expect to pick a black marble?

Answers

Simple just get rid of all the marbles then the put the black marbles out of the bunch and then count them

Answer:

12.5

Step-by-step explanation:

6+10= 16    200/16=12.5

Find 2a-3b as a column vector

Answers

Answer:

(-9, 14)

Step-by-step explanation:

Let the column vector be represented as a = (3, 4) and b = (5, -2)

2a = 2(3,4)

2a = (6,8)

3b = 3(5, -2)

3b = (15, -6)

Take the difference 2a - 3b

2a - 3b = (6,8) - (15, -6)

2a - 3b = (6-15, 8 -(-6))

2a - 3b = (-9, 14)

Hence the column vector is (-9, 14)

We want to find 2a - 3b as a column vector, we will get:

[tex]2a - 3b = \left[\begin{array}{ccc}-9\\14\end{array}\right][/tex]

So we want to perform a sum (difference actually) of vectors, we have that:

[tex]a = \left[\begin{array}{ccc}3\\4\end{array}\right] \\\\\\b= \left[\begin{array}{ccc}5\\-2\end{array}\right][/tex]

Remember that when we multiply a vector by a scalar, each component gets multiplied by that scalar, so we have:

[tex]2a = \left[\begin{array}{ccc}2*3\\2*4\end{array}\right] = \left[\begin{array}{ccc}6\\8\end{array}\right] \\\\\\3b= \left[\begin{array}{ccc}3*5\\3*-2\end{array}\right] = \left[\begin{array}{ccc}15\\-6\end{array}\right][/tex]

Now we just perform the direct difference:

[tex]2a - 3b = \left[\begin{array}{ccc}6\\8\end{array}\right] - \left[\begin{array}{ccc}15\\-6\end{array}\right] = \left[\begin{array}{ccc}6 - 15\\8 + 6\end{array}\right] = \left[\begin{array}{ccc}-9\\14\end{array}\right][/tex]

If you want to learn more, you can read:

https://brainly.com/question/10435343

Plzzzz help me to find the answer

Answers

Answer:

im pretty sure its 67, sorry if I'm wrong

Help please & thank you , need it asap

Answers

Answer:

x = 180 - 30 - 41 - 67 = 42°

You need to do l x w = h divided by 2.

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Answers

Answer:

(9,-7)

Step-by-step explanation:

Anytime you rotate a coordinate point around the coordinate plane at 180°, each coordinate changes from (x,y) to '(-x, -y). This means they will become the opposite of their original number.

Determine whether the vertex of the function is a maximum or minimum, and find its coordinates.

f(x) = -2x2 + 32x - 126

Answers

Answer:

MAX: (8, 2)

too lazy to write out the solution, sorry.

Answer:

this is what i got -2(x-9)(-7) hope it helps

Step-by-step explanation:

Suppose the diameter of a circle is 16 units what is the circumference?

Answers

Answer:

Step-by-step explanation:

Answer:

16[tex]\pi[/tex]

Step-by-step explanation:

16 = diameter

Circumference = Diameter * pi

Sometimes the teacher may want you to round pi to 3.14...

In that case do 16 * 3.14 = 50.24

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Answers

The first one is less

Determine what type of solution the following equation has: 2x-7=2x+3

- No solution
- One solution
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Answers

I’m pretty sure that has no solution! :)

Explanation:
2x - 7 = 2x + 3
2x - 2x -7 = 2x - 2x + 3
-7 = 3
no solution

(Also, could I get brainliest?)

Please help Mhanifa quickly!
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Answers

Answer:

Given:

-4x - 2y = -2   x - 2y = 9

Subtracting:

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You can now find y:

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Solution (2.2, -3.4)

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Answers

Answer:

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Step-by-step explanation:

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I need help with this!!

Answers

Answer:

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Step-by-step explanation:

3 in.
6 in.
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Answers

Answer:

18 in

Step-by-step explanation:

multiple base by height

4 1/8 take away 1 1/2

Answers

I think it’s 2 5/8 but I’m not sure!

What is area?


The space inside a circle.


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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

Point slope-equation formula:

y - y1 = m(x - x1)

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3. okkkokok final

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Answers

Answer:

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Step-by-step explanation:

Janice spent $36 on a cake and had $27 left. What fraction of her money did she spend on the cake?​

Answers

Answer:

25%

Step-by-step explanation:

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7a +5+2b
Select all of the true statements below.
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- 2 is a coefficient.
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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Hope it helps

Answer:

150°

Step-by-step explanation:

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Learning Task 6: Find the missing terms.
1. 2, 2, 4, 12,_,_
2. 1, 2, 4, 8,_,_
3. 1,3,9, 27, 81,_
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pasagutan po Yung may space
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Answers

Answer:

4. 1,5, 25, 125,_

Step-by-step explanation:

нокинццлаоагсгг вши:)

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Answers

Answer:

Step-by-step explanation:

Given

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Try and follow it from the graph below.

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Answers

A>B

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This would work

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5555

Step-by-step explanation:

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Answers

Answer:

110

Step-by-step explanation:

5-5 cancel out

By the way, can you follow me on Brainly?

Thanks!

Answer:

uhm I'm not sure I'm really sorry if it's wrong but its 110 if it's not the right one go to calculator

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Answers

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A painter took 15 hours to paint 12 rooms in a building. Choose all true statements about the painter's rate of speed

Answers

Answer:

B and E

Step-by-step explanation:

15 divided by 12 is =1.25

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Which of the following is not a measure of central tendency?
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Answers

Answer:

C

Step-by-step explanation:

C is the answer becasue range is not classified as a measure of central tendency

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