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
oksano4ka [1.4K]
3 years ago
13

10) Gabe put up a fence around his rectangular vegetable garden this weekend.

Mathematics
1 answer:
dybincka [34]3 years ago
3 0

Answer:

The length is 16 ft, and the width is 3 ft.

Step-by-step explanation:

Let L = length & let W = width.

The perimeter of a rectangle is

P = 2(L + W)

The area of a rectangle is

A = LW

We know the perimeter and the area, so we substitute those values int he equations above and we switch sides in both equations.

Perimeter: 2(L + W) = 38

Divide both sides by 2:

L + W = 19

Area: LW = 48

We have a system of two equations in two unknowns:

L + W = 19

LW = 48

Solve the first equation for L and substitute it into the second equation.

L = 19 - W

(19 - W)W = 48

19W - W^2 - 48 = 0

Multiply both sides by -1, and rearrange the order of the terms.

W^2 - 19W + 48 = 0

(W - 16)(W - 3) = 0

W - 16 = 0 or W - 3 = 0

W = 16 or W = 3

Use W = 3 to find L

L = 19 - W

L = 19 - 3

L = 16

Answer: The length is 16 ft, and the width is 3 ft.

You might be interested in
A large container of juice cost $1.95 less than three times the cost of the small container of juice what is the cost of a launc
deff fn [24]
1.60 *3 is 4.80-1.95=2. 85 a large container is $2.85
3 0
3 years ago
Calculeaza aria unu paralelogram cu latura 3 radical 2 cm si inaltimea 2cm
zloy xaker [14]

Answer:

Aria unui paralelogram =6\sqrt{2}

Step-by-step explanation:

Folosind formula:

Aria unui paralelogram = (baza x înălțimea)

                                       = (3√2 x 2)

                                        =6\sqrt{2}

Aria unui paralelogram =6\sqrt{2}

6 0
3 years ago
Which rule represents the translation of hexagon D'E'F'G'H'I' ?
Sveta_85 [38]

Answer:

C (X,Y)->(X-4,×-5) I would say bro

3 0
3 years ago
Darryl lives on the third floor of his apartment building. His bike is locked up on the ground floor. At 3:00 P.M., he leaves to
ryzh [129]

Answer:

x-2 y-2

Step-by-step explanation:

because i said its true

4 0
3 years ago
what number must be added to 3 and 8 so that the ratio of the first number to the second number is equal to 3 :4​
Grace [21]
The answer is 12.
Steps
If that number is x
(3+x)/(8+x)=3/4
"Cross multply"
4(3+x)=3(8+x)
12+4x=24+3x
x=12
To check: add 12 to 3 and 8. 3+12=15 and 8+12=20. 15/20=3/4
3 0
3 years ago
Other questions:
  • Aaron bought a sandwich for $4.05, a bag of chips for $2.45, and a drink for $2.00. The tax was $0.70. He gave the cashier $10.0
    9·1 answer
  • The number of boys b in class is 3 times the number of girls g in the class
    7·2 answers
  • Part one ) compare 8^0 and 8^-2 which is greater and explain
    12·1 answer
  • If a circumference of a circle is 10 inches, then determine the area of the<br> circle.
    7·2 answers
  • For f(x)=4x+1 and g(x)=x^2-5 find (f-g)(x)
    10·2 answers
  • What are the rules to solve a equation with variables on one side​
    15·1 answer
  • Simplify the expression 3 b 7 3b 21
    12·1 answer
  • A boy sits for 15 maths exams during the year and gains an average of 1.". He sits for one
    5·1 answer
  • Harold, the handyman, builds two similar sheds for a farm. The smaller shed is 6 feet tall and weighs 500 pounds. If it takes th
    8·1 answer
  • Find the equation of the line
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!