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
ANTONII [103]
3 years ago
7

WILL MARK BRAINLIEST!!! A contractor has 34 meters of fencing that he is going to use as the perimeter of a rectangular garden.

The length of one side of the garden is represented by x, and the area of the garden is 72 square meters. Determine algebraically the dimensions of the garden. show work for full credit.
Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0

Given

Shape of garden: Rectangle

Perimeter: 34 meters

Area: 72 square meters

Length of one side = x

Required

Find the dimension of the rectangle

Let the length of the other side of the rectangle be represented with y.

We start by writing out the perimeter of a rectangle

Perimeter, P = 2(L + B)

Where P is the perimeter; L and B are the length and width of the sides of the rectangle.

In this case L and B are represented by x and y

So,

P = 2(x + y)

By substituting 34 for P

34 = 2(x + y)

Multiply both sides by ½

½ * 34 = ½ * 2(x + y)

17 = x + y

Make y the subject of formula

y = 17 - x

Recall that the sides of the rectangle are represented by x and y.

Hence, the area of the rectangle is as follows.

Area = x * y

Substitute 72 for Area and 17 - x for y

72 = x(17 - x) --- Open bracket

72 = 17x - x² ---- Reorder

x² - 17x + 72 = 0

Now, we have a quadratic equation

Solving by factorisation

x² - 8x - 9x + 72 = 0

x(x - 8) - 9(x - 8) = 0

(x - 8)(x - 9) = 0

x - 8 = 0 or x - 9 = 0

x = 8 or x = 9

Recall that

y = 17 - x.

When x = 8

y = 17 - 8

y = 9

When x = 9

y = 17 - 9

y = 8

Writing out the result, we have

x = 8 , y = 9

Or

x = 9, y = 8

Hence, the dimension of the rectangle is 8 metres by 9 metres

You might be interested in
Answer this question step by step​
KiRa [710]

I hope this help you

3 0
3 years ago
F(5)=-3x+10 what will the domain and range be
Vladimir [108]
F= -3/5 x+2. Hope this helps

3 0
3 years ago
( 2 – 3x – 10 ) ÷ ( x – 5 )​
PtichkaEL [24]

Answer:

7

Step-by-step explanation:

hope helps you

6 0
3 years ago
A store asked 250 of its customers whether or not they were satisfied with the service. The responses were also classified accor
anyanavicka [17]

Answer:

Correct option: e) a two-way table.

Step-by-step explanation:

In this case the store wants to see whether there is a relationship between the satisfaction level of the customer and their gender.

In statistics when there is a need to analyze or derive a relation between two categorical variables one should use a two-way table.

Categorical variables are qualitative variables that take on specific values that are usually labels. For example, grades obtained in an exam, gender, etc.

In this case the two categorical variables are: Gender and Satisfaction level.

To study the relation between the gender of a customer and their satisfaction level use a two-way table.

 

3 0
3 years ago
How many 6 ounce cups can you completely fill using a package of Kool-aid that makes two quarts Remember that there are 32fl oz
aliya0001 [1]
You can completely fill 10 cups
4 0
3 years ago
Other questions:
  • Find the point, M, that divides segment AB into a ratio of 5:6 if A is at (0,22) and B is at (11,0).
    5·2 answers
  • 64.84 to the nearest whole number
    15·2 answers
  • HELP ME PLEASE I WILL MARK YOU AS A BRAINLIEST!!!!!!
    12·2 answers
  • Please help |x+10| , if x=−12
    14·1 answer
  • Express your answer in scientific notation.(7.9x10^7)+(1.2x10^7)
    6·2 answers
  • What is the area of this triangle​
    13·1 answer
  • PLEASE PLEASE PLEASE HELP, AND SHOW WORK!!!! LOOK AT ATTACHMENT.
    12·1 answer
  • PLEASE HELPPPPP!!!!!
    12·1 answer
  • Jennifer has run many marathons and keeps track of all of her finishing times. At a marathon last month, she finished in 350 min
    10·1 answer
  • What is the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio? Negative one-eleventh
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!