The difference between the length and width of a rectangle is 4 units. The perimeter is 40 units. Enter and solve a system of equations to determine the length and width of the rectangle. (Hint: The perimeter of a rectangle is 2l + 2w.)

Answers

Answer 1

Answer:the length and width of the rectangle are 12 and 8 respectively

Step-by-step explanation:

Step 1

The perimeter of a rectangle is 2l + 2w  where l= length and w= width giving us that

2l+2w=P

2l + 2w = 40

2(l+w)= 40

l +w = 20

Also we were given The difference between the length and width of a rectangle is 4 units giving us that

l-w= 4

Here our systems of equation to solve the problem

l-w= 4----- Equation 1

l +w = 20-----Equation 2

Step 2

I-w=4---- Equation 1

l +w = 20---Equation 2

Adding equation 1 and 2

I-w=4

+l +w = 20

2l =24

l=24/2

=l=12

To find w, we put the value of l=12 into equation 1

I-w=4

12-w= 4

w= 12-4

w=8

Therefore the length and width of the rectangle are 12 and 8 respectively

 


Related Questions

Help show workings
Due asap

Answers

Answer:

x=35

Step-by-step explanation:

Alright so an isosceles triangle is a triangles that has 2 angles that have the same value and those lines tell us which angles are the ones that are the same which would be angle Q and angle R. The lines are almost pointing at those angles. All of the angles will equal 180 so we set up an equation

180=2x + 40  because Q and R have the same value we multiply the 2x by 2

now we have 180=4x+40

step 1 subtract each side by 40

140=4x

step 2 divide each side by 4

35=x

Boden's account has a principal of ​$800 and a simple interest rate of 3.3%.
How much money will be in the account after 4​ years, assuming Boden does not add or take out any​ money?

Answers

Answer: 800 x 1.033^4 = 910.94 (result is rounded)

Step-by-step explanation:

Problem #3
The diagram shows an obtuse triangle
ABC with AB = 57 cm, AC = 48 cm and
BÂC=117 degrees
Calculate:
a the length BC
(3 marks)
b the area of triangle ABC (2 marks)
c the size of the angle ABC. (3 marks)

Answers

5
Hop this is help full

What is 0.36x100 what’s the answer

Answers

36 is the answer..............

Answer:

36

Step-by-step explanation:

0.36x100

You move the decimal over once to the left to get a whole number of 36

help pls factory this step by step ײ+x(x+1)(x+2)+(1+x)​

Answers

Answer:

ײ+x(x+1)(x+2)+(1+x)​ = x²+(x+1)³

Step-by-step explanation:

ײ+x(x+1)(x+2)+(1+x)​   ...look that: 1+x=(x+1)

=x²+x(x+1)(x+2)+(x+1)

=x²+(x+1)(x²+2x+1)

=x²+(x+1)³

Note that:

x²+2x+1=(x+1)*(x+1)​

2y – 9x = 4

......................

Answers

Answer:

y=9/2x+2

Step-by-step explanation:

Answer:

x=2/9y + -4/9

Step-by-step explanation:

Solve for x:

2y−9x=4

Add -2y to both sides:

−9x+2y+−2y=4+−2y

−9x=−2y+4

Divide both sides by -9:

−9x /−9 =−2y+4 /-9

Then your answer is:

x= 2 /9 y+ −4/ 9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope I helped!

Good luck! :)

What is the equation of the line perpendicular to 2x + y = -5 and passes through the point (4, -3)? Write your answer in slope-intercept form. Show all work.

Answers

2x+y= -5 is our equation and it passes through (4, -3)

point-slope formula= y-y1= m(x-x1)

fill in your formula, but flip the slope so its perpendicular. so slope is 1/2.

y+3=1/2(x-4) when i filled the formula in, i used 4 as x1 and -3 as y1.

y+3=1/2x-2 multiply x and -4 by 1/2

y=1/2x-5 subtract 3 from both sides.

Final answer: y=1/2x-5

Also, i'm sorry my answer took so long the bell rang and so I had to leave this alone for a minute. Feel free to ask any questions :)

Write the equation of the line that passes through the points (3,5) and (-1,1). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Given:

A line passes through the two points (3,5) and (-1,1).

To find:

The equation of the line in fully reduced point-slope form.

Solution:

If a line passes through two points, then the point slope form of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through the two points (3,5) and (-1,1). So, the point slope form of the line is

[tex]y-5=\dfrac{1-5}{-1-3}(x-3)[/tex]

[tex]y-5=\dfrac{-4}{-4}(x-3)[/tex]

[tex]y-5=1(x-3)[/tex]

Therefore, the  point slope form of the line in fully reduced form is [tex]y-5=1(x-3)[/tex], here 1 is the slope of the line.

7 of 8
Given that A, O & B lie on a straight line segment, evaluate the size of the smallest angle.
С
D
(60 - a)
(3a + 8) (4a - 38)
A
B
The diagram is not drawn to scale.

Answers

Answer:

D just got it on edg

Step-by-step explanation:

Please help me! 30 points!

Answers

Resulting expression is - 0.8x + 4.8y +16.

Given the function f(x) square root x+1 -6choose the correct transformation.

Answers

Down 6
Left 1
I think hope it helps tho

Violet puts 12 out of every 192 dollars that she earns into a savings account. Which of the following is equivalent to

Answers

Answer:

I think it is 12

Step-by-step explanation:

What is the solution to the equation?
3 x – 1 = 8

Please help

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

3x-1=8  Equation/Question

Step 2

3x-1=8  Simplify

3x-1=8

Step 3

3x-1=8  Add 1 to sides

3x=9

Step 4

3x=9  Divide sides by 3

answer

x=3

Hope this helps

What are all the factors of 6?​

Answers

Answer:

1,2,3,6

Step-by-step explanation:

The factors of 6 are the number that go into 6 evenly

1,2,3,6

5 (x+5) + 2 (x+10)
can you help me

Answers

The answer is 3x+5. The work is below

Q14
4
x + 9
The area of this shape is 75cm2
Find the perimeter of the shape.
x + 3
2x + 5

Answers

Answer:

42.6cm

Step-by-step explanation:

The sum total of all the sides of the shape is the perimeter of the shape. Hence;

Perimeter = x+3 + 4 + x+9 + 2x+5

Perimeter = 4x + 21

Given

Area of the figure = 75cm^2

Area = (x+3)(2x+5) + (2x+1)(6)

75 = 2x²+5x+6x+15+12x+6

75 =  2x²+23x+21

2x²+23x+21-75 = 0

2x²+23x-54 = 0

x = -23±√23²-4(2)(-75)/4

x = -23±√529+600/4

x = -12±√1129/4

x = -12+33.6/4

x = 21.6/4

x = 5.4

Recall that;

Perimeter = 4x+21

Perimeter = 4(5.4) + 21

Perimeter = 21.6+21

Perimeter = 42.6cm

Hence the perimeter is 42.6cm

Students in North America observe this wind vane at these times during the day in order to predict the weather

Which prediction can the students make based on their observations?

O A will be warmer the next day.
OB. There is likely to be a tomado soon.
OC.There is a cold front coming from the North.
OD.There is a warm front coming from the South.

Answers

C is the right answer s

Answer:

c

Step-by-step explanation:

please help!!!!!! this is the only question i’m confused with out of everything

Answers

Answer:

The a value is 4

Step-by-step explanation:

x2 + 10x + 16/x + 2 =
HELP ASAP !! Plss

Answers

Answer:

The answer is x+8.

Because you gotta factor out first and then cancel.

What is the answer to question 1 written as an ordered pair? (5, $5.25)
(5, $11.25)
($5.25,5)
($11.25, 5)

Answers

11.25,5 maybe I dunno
Can you please repost this and provide a picture with it so I can understand more and help you?

Simply 3x +9y + 2x
Please help me

Answers

Answer:

5x+9y

Step-by-step explanation:

Step-by-step explanation: Notice that 3x and 2x are like terms.

So we can combine them to get 5x.

Since 9y is the only y term, we leave it separate.

So our answer is 5x + 9y.

Find the perimeter and area of a rectangle with length (6) and width (x + 2).​

Answers

Answer:

The perimeter of a rectangle is: P = 2x+16

The area of a rectangle is: A = 6x+12.

Step-by-step explanation:

Given

The length of a rectangle = l = 6

The width of a rectangle = w = (x+2)

To determine

The perimeter of a rectangle = P

The area of a rectangle = A

Determining the Perimeter of a rectangle

The perimeter of a rectangle can be determined using the formula

P = 2(l+w)

substitute l = 6 and w = (x+2)

P = 2(6+x+2)

P = 2(8+x)

P = 2x+16

Therefore, the perimeter of a rectangle is: P = 2x+16

Determining the Area of a rectangle

The Area of a rectangle can be determined using the formula

A = lw

substitute l = 6 and w = (x+2)

A = (6)(x+2)

A = 6x+12

Therefore, the area of a rectangle is: A = 6x+12.

which two numbers have a product of 24 and sum of 11

Answers

Answer:

The numbers 3 and 8 and be multiply and get 24. They can also be added to get 11.

8+3 = 11 and 8x3 = 24 hope this help

Which value can be filled into the blank to make a true equation?
a + b + c – __ = a + c

Answers

Answer:

b

Step-by-step explanation:

a + b + c - b = a + c

Solve 4x + 2 = 20 klkllk

Answers

Answer:

x = 4.5

Step-by-step explanation:

First, we can subtract 2 from 20 (20 - 2) to get 18.

Now we know that x has to be multiplied by 4 and have a product of 18.

We can divide 18 by 4 to figure out what x is.

18 ÷ 4 = 4.5

We can check our answer by solving the equation:

4(4.5) + 2 = 20

18 + 2 = 20

20 = 20

(sorry if this is confusing but I hope it helped)

Help meeeee pls class ends in an hour

Answers

117

Step-by-step explanation:

(x+3) is 13 because x is 10 so 10+3 is 13 and then 9 so 13×9 is 117

HELP ME PLEASE

A) Translation: 1 unit left and 1 unit down

B) Translation: 1 unit right and 1 unit up

C) Translation: 3 unit right

D) Translation: 4 unit right and 1 unit up

Answers

9514 1404 393

Answer:

  B)  Translation: 1 unit right and 1 unit up

Step-by-step explanation:

The points marked with a "prime" (X') are the ones that result from the transformation. Each of those is 1 unit up and 1 unit right of the corresponding "un-primed" point (X).

The transformation to get from preimage WXYZ to image W'X'Y'Z' is ...

  B) Translation: 1 unit right and 1 unit up

At dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill. "What would be the total amount if the meal cost $80?" *

Answers

Answer:

$86.8

Step-by-step explanation:

Step one:

Given data

At dinner, the meal cost $22 and a sales tax of $1.87

let us find what percent $1.87 to the cost of the meal

= 1.87/22*100

=0.085*100

=8.5%

Hence the sale tax is 8.5%

Step two:

if the cost is now $80

the sale tax will cost

=8.5/100*80

=0.085*80

=$6.8

The total will be

=80+6.8

=$86.8

Which operation should you perform last in the expression 12 × 42?
plz help me I will give brainliest.

Answers

Answer:

Step-by-step explanation:

First, consider expressions that include one or more of the arithmetic operations: addition, subtraction, multiplication, and division. The order of operations requires that all multiplication and division be performed first, going from left to right in the expression.

Ocsar and his little brother made up a game using coins. They flip the coin towards a cup and receive points for every one that makes it in. Oscar starts with 20 points, and his little brother starts with 18 points. Oscar gets 2 points for every successful shot, and his brother, since he is younger, gets 3 points for each successful shot. Eventually, the brother will have a tied score in the game. How many additional shots will each brother have made? How many points will they both have? ​

Answers

they both would have 24

they both would have 2 successful shots. they would mean that the older brother added 4 point to his score and the younger brother would have added 6 to his score

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