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
Alex777 [14]
3 years ago
7

A gardener has three rectangular plots that are adjacent to each other. She has 120 yards of fencing and the total area of the p

lot is 450 square yards, find the dimensions of each plot.
Mathematics
1 answer:
crimeas [40]3 years ago
5 0

Answer:

10 yards by 15 yards

Step-by-step explanation:

Let the dimensions of each plot x yards by y yards.

If three plots are placed as the y-yards side are common to them then,  

The total perimeter will be (6x + 4y) = P = 120 yards {Given} ........... (1)

⇒ 3x + 2y = 60 ........... (2)

Now, the total area of the three plots will be 3xy = A = 450 sq, yards {Given} .......... (3)

⇒ x = \frac{150}{y} .......... (4)  

Now, solving equations (2) and (4) we get,

3(\frac{150}{y}) + 2y = 60

⇒ 225 + y² = 30y

⇒ y² - 30y + 225 = 0

⇒ (y - 15)² = 0

⇒ y = 15 yards.

Hence, from equation (4) we get,

x = 150/15 = 10 yards.

Therefore, the dimensions of each plot are 10 yards by 15 yards. (Answer)

You might be interested in
Z=-3x2+2ey-2y+3 cực trị tự do
topjm [15]

Answer:

z=( -2 , 5/3) can you speak English

5 0
2 years ago
The price of an item has risen to $221 today. Yesterday it was $130. Find the percentage increase.
wlad13 [49]

Answer:

70

Step-by-step explanation:

4 0
3 years ago
A chain fits tightly around two gears as shown. What is the radius of the smaller gear? Round your answer to the nearest tenth.
GrogVix [38]
Using the Pythagorean theorem we can solve for the radius

see attached picture: 

7 0
3 years ago
Read 2 more answers
Write an equation for two angles A and B that are supplementary.
Alinara [238K]

Answer:

A. a + b = 180 is the correct option.

3 0
2 years ago
two lines intersect.One has gradient 4 and y-axis intercept 3. The other has gradient 6 and cuts the y-axis at (0,1). What is th
timurjin [86]

Answer:

(1, 7 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Then the equations of the 2 lines are

y = 4x + 3 → (1)

y = 6x + 1 → (2)

Substitute y = 6x + 1 into (1)

6x + 1 = 4x + 3 ( subtract 4x from both sides )

2x + 1 = 3 ( subtract 1 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting into (1)

y = 4(1) + 3 = 4 + 3 = 7

Point of intersection = (1, 7 )

5 0
3 years ago
Other questions:
  • If the sales tax rate is 9.25% in California, then how much would you pay in Los Angeles for a pair of shoes that cost $39.94
    15·2 answers
  • At a football game a vender sold a combined total of 240 sodas and hot dogs the number of sodas sold was three times the number
    5·2 answers
  • Anyone know this??<br> pls help lol
    12·1 answer
  • 6. net<br> 28 in.<br> 2.5 in.<br> Surface area
    10·2 answers
  • How to start solving it
    12·1 answer
  • Please refer to the picture!!
    7·1 answer
  • The areas of two similar triangles are 18 cm2 and 8 cm2. One of the sides of the first triangle is 4.5 cm. What is the length of
    9·2 answers
  • F(x)
    7·1 answer
  • Which is a logical conclusion based on the information given in the figures
    14·1 answer
  • Shown here is a mathematical step taken when solving an equation. Identify the mathematical reason or property used to simplify
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!