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
goldfiish [28.3K]
3 years ago
11

The length of a 200 square foot rectangular vegetable garden is 4feet less than twice the width. Find the length and width of th

e garden

Mathematics
1 answer:
inna [77]3 years ago
4 0

Answer:

Length = 18.099 ft

Width = 11.049 ft

Step-by-step explanation:

let the length of the field be x ft

and the width be y ft

as per the condition given in problem

x=2y-4   -----------(A)

Also the area is given as 200 sqft

Hence

xy=200

Hence from A we get

y(2y-4)=200

taking 2 as GCF out

2y(y-2)=200

Dividing both sides by 2 we get

y(y-2)=100

y^2-2y=100

subtracting 100 from both sides

y^2-2y-100=0

Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

ax^2+bx+c=0

Here in our case

a=1

b=-1

c=-100

Putting those values in the formula and solving them for y

y=\frac{-(-2)+\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}

y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}

Solving first

y=\frac{2+\sqrt{4+400}{2}

y=\frac{2+\sqrt{404}{2}

y=\frac{2+20.099}{2}

y=\frac{22.099}{2}

y=11.049

Solving second one

y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}

y=\frac{2-\sqrt{4+400}{2}

y=\frac{2-\sqrt{404}{2}

y=\frac{2-20.099}{2}

y=\frac{-18.99}{2}

y=-9.045

Which is wrong as the width can not be in negative

Our width of the field is

y=11.099

Hence the length will be

x=2y-4

x=2(11.049)-4

x=22.099-4

x=18.099

Hence our length x and width y :

Length = 18.099 ft

Width = 11.049 ft

You might be interested in
The sixth grade debate team has a boy to girl ratio of 3:8. Which of the following ratios is equivalent to this ratio?
hram777 [196]

Answer:

wow this your first Q

Step-by-step explanation:

6 0
3 years ago
How do you write negative 4 tenths as a fraction?
jasenka [17]

Answer:

-4/10

Step-by-step explanation:

6 0
3 years ago
the soccer league needs to transport all 133 players to the tournament. If 4 players can ride in one car, how many cars are need
LenKa [72]

Take the 133 players and divide by 4.

         (133 / 4) = 33.25

33 cars can carry   (33 x 4) = 132 players.
But that leaves one player out in the cold with no ride.
You need one more car ... 34 cars all together.
5 0
3 years ago
Read 2 more answers
Heather drove a constant rate. She traveled 162 miles in 3 hours. How far In miles did heather travel in 1 hour?
creativ13 [48]

Answer:

54

Step-by-step explanation:

Divide 162 by 3 and find the constant rate per hour.

8 0
3 years ago
The bus arrived at 8:20. It left 30 minutes earlier. What time did the bus leave?
OlgaM077 [116]
7:50 AM /PM is the time
6 0
3 years ago
Read 2 more answers
Other questions:
  • How many ways are there to deal hands of five cards to each of six players from a deck containing 52 different cards?
    6·1 answer
  • The trail is 2982 miles long.It begins in city A and ends in city B.Manfred has hiked 2/7 of the trail before.How many miles has
    14·1 answer
  • Write the slope intercept form of the equation of each line<br> y+5=-4/5(x-4)
    15·1 answer
  • Triangle GHJ is rotated 90° about point X, resulting in
    6·1 answer
  • What is closed and not closed please explain, thank u
    6·1 answer
  • Guys, I cant anymore, Ive asked this question over 5 times now. Its been a very let down day, and I just need to get this off my
    7·2 answers
  • Graph: y - 3 = 1/2 ( x + 2 )
    14·2 answers
  • Based on the graph, between which two values of x is a zero of g located?
    5·1 answer
  • Select the expression NOT equivalent to 32 + 40x.
    7·2 answers
  • F(x)=x^2+1 <br> g(x)=5-x <br> (f+g)(x)=
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!