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
olga2289 [7]
3 years ago
7

A 40-foot by 10-foot rectangular garden is enclosed by a fence. To make the garden larger, while using the same amount of fencin

g, its shape is changed to a square. How many square feet larger than the old garden is the new garden?
Mathematics
2 answers:
suter [353]3 years ago
6 0

Answer:

225 square feet

Step-by-step explanation:

<h3>Area of the rectangular garden</h3>

The area of the rectangular garden is:

40 × 10 = 400 square feet

<h3>Size of the new square garden</h3>

First we find the perimeter of the old garden:

(40 x 2) + (10 x 2) = 100 feet of fencing

Then we find the size of the new garden, because it is a square we divide by 4:

100 ÷ 4 = 25 feet

<h3>Area of the new garden</h3>

The area of the new garden is:

25 x 25 = 625 square feet

The difference is 625 - 400 = 225 square feet

svp [43]3 years ago
4 0

Step-by-step explanation:

This 40-foot by 10-foot garden would have an area of 400 feet...

40 x 10 = 400

It would also use a total of 100 feet of fencing...

40 + 10 + 40 + 10 = 100

To find how long each side would be if it were transformed into a square, simply divide 100 by 4...

100 / 4 = 25

Now that each side is 25 feet, we need to figure out what the area of the new garden is, and how much larger it is than the old garden...

25 x 25 = 625

This is the area of the new garden.

Area of the old garden = 400 square feet

Area of the new garden = 625 square feet

The new garden is 225 square feet larger than the old garden!

You might be interested in
Clyde rents a tuxedo for several days. Let d represent the number of additional days Clyde uses the tuxedo. Write an algebraic e
yaroslaw [1]

Answer:

Total cost = f + ad

Step-by-step explanation:

Given:

Number of days = d

Fixed charges = f

Cost per day = a

Find:

Equation

Computation:

Total cost = fixed cost + (Number of days)(Cost per day)

Total cost = f + ad

3 0
3 years ago
Steve has 30 wooden blocks and wants to make a 4 by 4 house with a large chest and a bead will he have enought wood and will his
ratelena [41]

Answer:

4 blocks up

Step-by-step explanation:

4 0
3 years ago
What is the final elevation if a bird starts at 20 m and changes 16 m?
charle [14.2K]

Answer:

36 meters

Step-by-step explanation:

The bird starts at 20 and (assuming it goes up) increases by 16 meters. You have to add to get 36. However, if the bird flies 16 meters down, the answer would be four meters. The answer 36 is assuming the bird flies upward.

5 0
3 years ago
One student begins in Cleveland, Ohio, and walks towards Buffalo, New York, a distance of 200 miles. She walks at the rate of 2.
omeli [17]
Ok so student in cleveland walks 2.5 miles away from cleveland every hour from 8
so the distance, x is x=2.5t

the riding one rides 4 hours later, so t-4
11 mph
y=11(t-4)

A. x=2.5t
y=11(t-4)

when do they meet is when the distance when they are equal or when x=y
2.5t=x=y=11(t-4)
solve for t
2.5t=11(t-4)
2.5t=11t-44
-8.5t=-44
divide both sides by -8.5
t=5.17647

answer is 5.18 hours


A.
x=2.5t
y=11(t-4)

B. 5.18 hours

6 0
3 years ago
Of 136 randomly selected adults, 33 were found to have high blood pressure. Construct a 95% confidence interval for the true of
navik [9.2K]

Answer:

The 95% confidence interval of the proportion of all adults that have high blood pressure is 0.17059 < \hat{p} < 0.314695

Step-by-step explanation:

The confidence interval for a proportion is given by the following formula;

CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}

Where:

x = 33

n = 136

\hat{p} = x/n = 33/136 = 0.243

z value for 95% confidence is 1.96

Plugging in the values, we have;

CI=0.243\pm 1.96\times \sqrt{\frac{0.243(1-0.243)}{136}}

Which gives;

0.17059 < \hat{p} < 0.314695

Hence the 95% confidence interval of the proportion of all adults that have high blood pressure = 0.17059 < \hat{p} < 0.314695

From the above we have;

23.2 < x < 42.798

Since we are dealing with people, we round down as follows;

23 < x < 42.

4 0
3 years ago
Other questions:
  • CAN YOU PLEASE HELP ME WITH THIS
    15·1 answer
  • What is the volume, in cubic centimeters, of this cylinder? Please use 3.14 for π.
    10·1 answer
  • An astronaut is working on a satellite 200 miles above the ground. What is the measure of BD⌢, the portion of Earth that the ast
    9·1 answer
  • Which equation best represents the line graphed above? <br><br><br> Please help
    8·1 answer
  • Two times one number added to three times a second number is 21.
    14·1 answer
  • If y =<br> ya<br> x and x = -18, find y.
    14·1 answer
  • (2, - 9),(- 1, 4)=<br><br> Plssss helppp me rnnn
    6·1 answer
  • 2 3/4 divided by 3 =
    12·1 answer
  • According to the graph, what is the value of the constant in the equation<br> below?
    9·2 answers
  • A lizard is 4 1/2 inches long.<br> How long is the lizard in centimeters?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!