MATHEMATICS COLLEGE

The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle. If w= the width of the rectangle, then the length equals OW-4 OW-4 401​

Answers

Answer 1
Answer: length is
10.5
inches
width is
6.5
inches
Explanation:
Let length be
l

Let width be
w

Let perimeter be
P

First, we must construct an equation for these variables:
l
=
w
+
4

P
=
34

But, Perimeter of a rectangle
=
l
+
w
+
l
+
w

=
2
l
+
2
w

So:
34
=
2
l
+
2
w

But, since
l
=
w
+
4
, we can substitute for
l
, having only the
w
variable:
34
=
2
(
w
+
4
)
+
2
w

34
=
2
w
+
8
+
2
w

34
=
4
w
+
8

Solve for
w
:
4
w
=
34
−
8

4
w
=
26

w
=
26
4

w
=
6.5
inches
Now, we can substitute
6.5
for
w
in the Perimeter Equation:
34
=
2
l
+
2
w

becomes:
34
=
2
l
+
2
⋅
6.5

34
=
2
l
+
13

Solve for
l
:
2
l
=
34
−
13

2
l
=
21

l
=
21
2

l
=
10.5
inches
Thus, length is
10.5
inches
Thus, width is
6.5
inches
Answer 2
Answer:

Answer: L = 4 + w

A = 2P - 4

lw = 2(2l +2w) - 4

lw = 4(l + w) - 4

(w+4)w = 4 ( w+4+w) -4

(w +4)w = 4(2w + 4) - 4

w^2 + 4w = 8w + 16 - 4

w^2 + 4w = 8w + 12

w^2 - 4w - 12 = 0

( w - 6 )( w + 2 ) = 0

w - 6 = 0 ----> w = 6 ----> L=10 ---> P = 32 and A = 60

w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected

Step-by-step explanation:

Related Questions

What is the value of the angle on the top left of this quadrilateral 112°88°90°70°
If f(x) = x2 + 2x + 1 and g(x) = 3(x + 1)2, which is anequivalent form of f(x) + g(x)? O x2 + 4x + 2 O 4x2 + 2x + 4 O 4x2 + 8x + 4 o 10x2 + 20x + 1
Raquel kicks a football. The height in feet canbe modeled by the equationh(x) = -16x2 + 64x.How long in seconds before the ball reachesits maximum height? Show work.What is the maximum height of the ball? Show work.answer fast please
PLEASE help me please
What is the equivalent of 27/5 in decimal form?

Jenny wants to share some stickers with her friends. If she gives each of her friends three stickers, she will have eight stickers left. If she gives each of her friends four stickers, she will need two stickers more. How many stickers does Jenny have?

Answers

how many friends does she have

Answer:

It depends how many friends there are

Step-by-step explanation:

Determine whether or not the given procedure results in a binomial distribution. For those that are not binomial, identify at least one requirement that is not satisfied.a) Treating 863 subjects with Lipitor (Atorvastatin) and recording whether there is a "yes" response when they are each asked if they experienced a headache.
b) Treating 863 subjects with Lipitor (Atorvastatin) and asking each subject "How does your head feel?"
c) Twenty different Senators are randomly selected from the 100 Senators in the current Congress, and each was asked whether he or she is in favor of abolishing estate taxes.
d) Fifteen different Governors are randomly selected from the 50 Governors currently in office and the sex of each Governor is recorded.

Answers

Answer:

a

This procedure results in a binomial distribution

b

This procedure would not results in a binomial distribution

c

This procedure results in a binomial distribution

d

This procedure would not results in a binomial distribution

Step-by-step explanation:

A procedure must meet the following requirement in order for it to result in a binomial distribution

  •     The procedure trials must be independent
  •      Outcome of individual trials can be classified into two categories
  •       Success probability must remain the same in all trials
  •      The number of trials is fixed

Considering  the first procedure we can see that it satisfies the requirement of  above especially the requirement that the possible outcome of every trial is two

Considering the second procedure we see that would not results in a binomial distribution because the outcome of it trials cannot be classified into two categories

Considering  the third procedure we can see that it satisfies the requirement of  above especially the requirement that the trial must be independent

Considering the second procedure we see that would not results in a binomial distribution because there is no defined probability of success or failure

Find the values of x and y in the following triangle

Answers

y is 88° and x is 42°
This is because a straight line is 180° so 180-92 is 88 which is Y
Once you have this, you add 50 and 88 to get 138 and a triangle is equal to 180° so 180-138 is 42
hope this helped :)

I need help please!!

Answers

Answer:

2 remainder 5 ily

Step-by-step explanation:

A thief steals an ATM card and must randomly guess the correct 6 digit PIN code from a 40 keypad repetition of digits is allowed what is the probability of a correct guess on the first try the number of possible codes is what

Answers

1 out of a 40 chance or 2% out of a 100
1 out of 40 percent chance

What number is bigger 3/4 or 0.75

Answers

Answer:

they are the same.

Step-by-step explanation:

Answer:

they are equal

Step-by-step explanation:

3/4 is the same thing as 0.75
Other Questions
Which of the following shows the extraneous solution to the logarithmic equation x = -16x = -4x = 4 x = 16
Sanderson Manufacturing produces ornate, decorative wood frame doors and windows. Each item produced goes through three manufacturing processes: cutting, sanding, and finishing. Each door produced requires 1 hour in cutting, 30 minutes in sanding, and 30 minutes in finishing. Each window requires 30 minutes in cutting, 45 minutes in sanding, and 1 hour in finishing. In the coming week Sanderson has 40 hours of cutting capacity available, 40 hours of sanding capacity, and 60 hours of finishing capacity. Assume all doors produced can be sold for a profit of $500 and all windows can be sold for a profit of $400.Required:a. Formulate an LP model for this problem. b. Sketch the feasible region. c. What is the optimal solution?
find sin(alpha-beta) if sin alpha =-5/13 with alpha between pi and 3pi/2; cos beta=2/5 with beta between 3pi/2 and 2pi
What is the distance between the points (-4, 7 ) and (2, 7 )