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
Mrrafil [7]
2 years ago
14

The perimeter of a rectangular swimming pool is 414 meters. The length of the pool is 7 meters more than four times the width. F

ind the length and the width
Mathematics
1 answer:
kobusy [5.1K]2 years ago
4 0

Answer:

l = \boxed{167.}\\w=\boxed{40.}

Step-by-step explanation:

Since the perimeter is 414 meters, half of the perimeter is 207 meters. We can write the following equation and solve for h.

w + l = 207\\w + (4w + 7) = 207\\5w +7 = 207\\5w = 200\\w = \boxed{40.}

Here, we substituted 4w + 7 in place of l as the problem tells us that the length of the pool is 7 meters more than 4 times the width. Solving for the width gave us 40 meters.

Using this information, we can determine that the length of the swimming pool is:

4(40) + 7 = 160 + 7 = 167.

To double-check that this is correct, we can add twice the length and twice the width to see if it equals the given perimeter:

167 + 167 + 40 + 40 =  414.

Therefore, your length and width of this swimming pool are:

l = \boxed{167.}\\w=\boxed{40.}

You might be interested in
Samuel's car usually takes about 12.5 gallons of gas to fill it up when it's empty while driving through Canada Samuel notice th
nika2105 [10]

Answer: 47.4 liters

Step-by-step explanation:

From the question, we are informed that Samuel's car usually takes about 12.5 gallons of gas to fill it up when it's empty and while in Canada, he noticed that one liter is equivalent to 0.264 gallons.

The number of liters it'll take to fill Samuels car will be:

= 12.5/0.264

= 47.4 litres

7 0
3 years ago
Solve for q. -5(3-q) +4=5q-11
soldier1979 [14.2K]

Perform the indicated multiplication first:  -15 + 5q + 4 = 5q - 11

Note that 5q appears on both sides of this equation.  Cancelling, we get :

-11 = -11.  This is always true.  Thus, -5(3-q) +4=5q-11 is true for all q.

4 0
3 years ago
Point A(7, 3) is translated to A’(16-19) what rule require the translation
vekshin1
New x = old x + 9
new y + old y - 22
7 0
4 years ago
Can someone help me with this question
Alex_Xolod [135]

Answer:

Yes.

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Suppose that, for a set of data, the range is x and the interquartile range is y. Which statement MUST be true? A) x = y B) x ≤
Vitek1552 [10]

c i suppose the answer

3 0
3 years ago
Read 2 more answers
Other questions:
  • TIMED!!!
    11·2 answers
  • Which is greater: 25% of 15 or 15% of 25? Explain your reasoning using algerbreaic representations or visual models
    9·1 answer
  • What the algebraic rule for a dilation with a scale factor of 3
    15·1 answer
  • Please help! Will give brainliest!!!
    11·1 answer
  • What is the image of the point (-2, 4) after a rotation of 180° counterclockwise
    6·1 answer
  • A polyhedron has 6 vertices and 9 edges. How many faces does it have?
    13·2 answers
  • An oatmeal cookie recipe calls for 1/2 cup of butter to make 5 dozen cookies. Wyatt needs to make 12 dozen cookies for the bake
    10·2 answers
  • Help me please I realy need help
    11·1 answer
  • You roll a six-sided die and observe the number showing on the top side when the die comes to rest. What is the probability of o
    9·1 answer
  • Draw the triangle and find the missing side then find the indicated trigonometric value. How do i solve this problem?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!