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
koban [17]
3 years ago
6

The width of a rectangle is 5 meters less than its​ length, and the perimeter is 34 meters. Find the length and width of the rec

tangle.
Mathematics
1 answer:
Alona [7]3 years ago
3 0

Answer:

Length = 11

Width = 6

Step-by-step explanation:

We know that the length is x and the width is x - 5 since it is 5 less than the length.

The equation to find the perimeter of a rectangle is 2w + 2l

We will plug in the values and solve

2(x-5) + 2(x) = 34

2x - 10 + 2x = 34

4x - 10 = 34

4x = 44

x = 11

Since the length is simply x, we know that it is 11. We subtract 5 to find the width.

11 - 5 = 6.

The width is 6.

You might be interested in
What is 20 divided by 70
svp [43]
The answer to 20 divided by 70 is
0.2857
6 0
3 years ago
Read 2 more answers
Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer.
Sonja [21]
<h3>Answer:  Rhombus</h3>

======================================================

Reason:

Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.

A = (x_1,y_1) = (3,5) \text{ and } B = (x_2, y_2) = (7,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (5-6)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17}\\\\d \approx 4.1231\\\\

Segment AB is exactly \sqrt{17} units long, which is approximately 4.1231 units.

If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.

-------------------------

Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.

Let's find the slope of AB.

A = (x_1,y_1) = (3,5) \text{ and } B = (x_2,y_2)  = (7,6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{6 - 5}{7 - 3}\\\\m = \frac{1}{4}\\\\

Segment AB has a slope of 1/4.

Do the same for BC

B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2)  = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\

Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.

We don't have perpendicular lines, so the interior angles are not 90 degrees each.

Therefore, this figure is not a rectangle and by extension it's not a square either.

The best description for this figure is a <u>rhombus</u>.

4 0
2 years ago
Read 2 more answers
The perimeter of a triangle is 76cm side of the triangle is twice as long as side b .side c is 1 cm longer than a side a .find t
stepladder [879]
P= a+b+c = 76
side a = 2b = 30
side b = b = 15
side c = 2b + 1 = 31
7 0
3 years ago
Find the surface area and volume of a cube with sides of 5.5 cm each.
djyliett [7]

Answer:

Area: 181.5

Volume: 166.4

Step-by-step explanation:

Hope this helps.

6 0
3 years ago
At the movie theatre 30% of the audience members were children. If the number of children at the movie theatre was 210, what was
torisob [31]

Answer:

700

Step-by-step explanation:

.30x=210

x=700

6 0
3 years ago
Other questions:
  • How do you solve this problem?
    5·2 answers
  • What is the prime factorization of 5184 using exponents
    5·1 answer
  • Solve the equation for P: 3k=7Q+6p
    13·2 answers
  • What length will Zaragoza need
    6·1 answer
  • What’s the equation
    6·1 answer
  • Denise used her credit card to buy a pair of new shoes for $120. At the end of the month, she could
    15·1 answer
  • Is 4( 3b - 4) equivalent to 2( 6b - 8) ?
    15·2 answers
  • Please help I have 30 mins
    5·1 answer
  • Use the inverse cosine to find the measure of angle Q.
    14·1 answer
  • Five times the sum of a number and 7 is 8
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!