1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
In-s [12.5K]
3 years ago
14

The length of a rectangle is 3cm greater than its width. the perimeter of the rectangle is 34cm. find its length.​

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
7 0

Answer:

length: 10 cm and width: 7 cm

Step-by-step explanation:

Let the width be x

then the length will be x + 3

perimeter of rectangle: 2 ( length + width )

<u>using the formula</u>:

2 ( x + 3 + x ) = 34

2 ( 2x + 3 ) = 34

4x + 6 = 34

4x = 28

x = 7

The width is 7 cm

Length:

x + 3

7 + 3

10 cm

mamaluj [8]3 years ago
4 0

Answer:

10cm

Step-by-step explanation:

The formula for perimeter is:

P=2(l+w)

Let the width of the rectangle be x then the length would be...

3+x

Now, let's plug these values into the equation and solve. (Note we are also given perimeter is 34 cm):

34=2(x+3+x)\\34=2(2x+3)\\Distribute\ the\ 2\ to\ each\ term\ in\ the\ parentheses\\34=2(2x)+2(3)\\34=4x+6\\Subtract\ 6\ from\ both\ sides\\4x=28\\Divide\ both\ sides\ by\ 4\\x=7

And since the length is x+3 then it is...

x+3=7+3=10cm

You might be interested in
Carlos evaluated 20 - (2x6) + 8 ÷4 and got 29. Is his answer correct? If not, explain what Carlos did wrong and find the correct
natima [27]
20-(2x6) +8 divided by 4
2 times 6 = 12
8/4 = 2
20-12+2
It would be 14 not 29

He used PEMDAS in the wrong order
8 0
4 years ago
Read 2 more answers
What is the value of y in the equation 2(3y + 4 + 2) = 196 – 16? (1 point)
larisa86 [58]
28 is the answer.

If you substitute 28 for y, the equation would be accurate.
7 0
3 years ago
Read 2 more answers
Determine whether PQ and UV are parallel,
lys-0071 [83]

Answer:

The answer is below

Step-by-step explanation:

The slope of a line (m) is given by:

m=\frac{y_2-y_1}{x_2-x_1}

Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1.

1)

Slope\ of\ PQ=\frac{1-(-2)}{9-(-3)}=\frac{1}{4}  \\\\Slope\ of\ UV=\frac{-2-6}{5-3}=-4

Since the product of their slope is -1, they are perpendicular

2)

Slope\ of\ PQ=\frac{1-7}{2-(-10)}=-\frac{1}{2}  \\\\Slope\ of\ UV=\frac{1-0}{6-4}=\frac{1}{2}

Since the slope is not the same or product of their slope is not -1, they are neither parallel or perpendicular

3)

Slope\ of\ PQ=\frac{8-1}{9-1}=\frac{7}{8}  \\\\Slope\ of\ UV=\frac{8-1}{2-(-6)}=\frac{7}{8}

Since the slopes are the same, they are parallel

4)

Slope\ of\ PQ=\frac{3-0}{9-(-4)}=\frac{3}{4}  \\\\Slope\ of\ UV=\frac{6-(-3)}{8-(-4)}=\frac{3}{4}

Since the slopes are the same, they are parallel

5)

Slope\ of\ PQ=\frac{1-2}{0-(-9)}=-\frac{1}{9}  \\\\Slope\ of\ UV=\frac{-1-8}{-2-(-1)}=9

Since the product of their slope is -1, they are perpendicular

6 0
3 years ago
Read 2 more answers
The measure of angle A is 62 degrees . Find the measures of the complement and supplement of angle A
Keith_Richards [23]

Answer:

Complement: 118°. Supplement: 28°

Step-by-step explanation:

To determine the supplement, subtract the given angle from 180.

180 - 62 = 118

To determine the complement, subtract the given angle from 90.

90 - 62 = 28

6 0
4 years ago
Write the midpoint of the segment as an order pair.
Svetllana [295]

Answer:

1. (3, 5)

2. (1/2, 4)

Step-by-step explanation:

To find the coordinates of the midpoint of a segment, find the average of the x-coordinates of the endpoints and the average of the y-coordinates of the endpoints.

1. (1, 2) and (5, 8)

x-coordinate of midpoint = (1 + 5)/2 = 6/2 = 3

y-coordinate of midpoint = (2 + 8)/2 = 10/2 = 5

Midpoint: (3, 5)

2. (0, 1) and (1, 7)

x-coordinate of midpoint = (0 + 1)/2 = 1/2

y-coordinate of midpoint = (1 + 7)/2 = 8/2 = 4

Midpoint: (1/2, 4)

4 0
4 years ago
Other questions:
  • A scientists makes a spherical magnets. Each magnet has a radius of 1.02 cm. They are stored away in boxes of 250. Calculate the
    8·1 answer
  • If the area of the square is 9 cm then how long is each side of the square
    5·2 answers
  • Find the values of a b and c in the table
    6·2 answers
  • pamela bought two caps at $9 each (c).she also bought two jean shirts that together cost her $70 (j). if she got a discount of $
    10·1 answer
  • A large basin has the shape of a hemisphere with a radius of 25 inches. Calculate the area of rhe circle of water if the basin i
    7·1 answer
  • The surface area of the planet Saturn is about 42,700,000,000 square kilometers. In scientific notation, the number is written a
    7·1 answer
  • Sylvia has a circular table cloth. The area of the table cloth is 254.34 in2
    8·1 answer
  • Hi can you help me with this????
    14·2 answers
  • Can you please help me
    12·1 answer
  • Dailene has 30 CD's and buys two new ones each week. Renae has 18 CD's and buys 4 new ones each week. after now many weeks will
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!