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
Citrus2011 [14]
3 years ago
9

The area of a rectangular flower bed is 24 square feet. The perimeter of the same flower bed is 22 feet. What are the dimensions

of the flower bed? A. 2 ft by 12 ft B. 3 ft by 8 ft C. 3 ft by 6 ft D. 4 ft by 6 ft
Mathematics
2 answers:
zhannawk [14.2K]3 years ago
5 0

Answer:

The correct answer is option B.  3 ft  by 8 ft

Step-by-step explanation:

<u>Points to remember</u>

Area of rectangle = length * breadth

Perimeter of rectangle = 2(Length + Breadth)

It is given that, The area of a rectangular flower bed is 24 square feet. The perimeter of the same flower bed is 22 feet

<u>To find the correct option</u>

<u>1). Check option A</u>

Area = 2 * 12 = 24

Perimeter = 2( 2 + 12 ) = 28

False

<u>2) Check option B</u>

Area = 3 * 8 = 24

Perimeter = 2(3  + 8 ) = 22

True

<u>3). Check option C</u>

Area = 3 * 6 = 18

Perimeter = 2( 3 + 6 ) = 18

False

<u>4). Check option D</u>

Area = 4 * 6 = 24

Perimeter = 2( 4 +6 ) = 20

False

The correct answer is option B.  3 ft  by 8 ft

Ray Of Light [21]3 years ago
3 0

ANSWER

B. 3 ft by 8 ft

EXPLANATION

The area is given as 24 square feet.

This implies that,

l \times w = 24

The perimeter of the rectangular field is given as 22 feet.

This implies that,

2(l + w) = 22

Or

l + w = 11

We make w the subject in this last equation and put it inside the first equation.

w = 11 - l

When we substitute into the first equation we get;

l(11 - l) = 24

11l -  {l}^{2}  = 24

This implies that,

{l}^{2}  - 11l + 24 = 0

(l - 3)(l - 8) = 24

l = 3 \: or \: 8

When l=3, w=24

Therefore the dimension is 3 ft by 8 ft

You might be interested in
Greatest to least centimeter,kilometer,meter,millimeter
andriy [413]
Millimeter, Centimeter, Meter, Kilometer
5 0
3 years ago
Read 2 more answers
a used bookstore will trade two of its books for three of us and they'll brings and 18 books to trade how many books can she get
Gemiola [76]
18/3=6
6x2=12
She can get 12 books from the store
4 0
3 years ago
1. Positive<br> 2. Negative<br> 3. Zero<br> 4. Undefined
Mamont248 [21]

Answer:

zero

Step-by-step explanation:

zero graphs are lines that are horizontal.

8 0
2 years ago
Question Help
hram777 [196]

Answer:

.3%, 21/7000=.003

Step-by-step explanation:

to make it by percent you multipy by 100

5 0
2 years ago
Read 2 more answers
Simplify 18 - 2[x + (x - 5)].
Phoenix [80]
First, distribute what's inside the parenthesis, and change all the subtractions to addition of negatives.

18 + -2 (x^2 + - 5x)

Next distribute the -2

18 + -2x^2 + 10x

Then I like to rearrange stuff to put it in standard form.

-2x^2 + 10x + 18
7 0
3 years ago
Other questions:
  • Compare 6 ⋅ 108 to 3 ⋅ 106.
    8·2 answers
  • Eli ran 3/4 of a mile. Every 1/8 of a mile, he jumped over a hurdle. There was a final hurdle at the 3/4 mile park. How many hur
    10·1 answer
  • Solve the following system of equations by substation.
    6·1 answer
  • Pls help me with this multiple choice !
    11·2 answers
  • Given a polynomial f(x), if (x + 2) is a factor, what else must be true?
    11·1 answer
  • The Questions above.
    6·1 answer
  • It’s true or false answers, plz help!
    8·1 answer
  • The cylindrical container shown below can be completely filled with 24 litres of water. The base area of the container is 600 cm
    13·1 answer
  • How many solutions does the system have? You can use the interactive graph below to find the answer. \begin{cases} y=x+1 \\\\ y=
    6·1 answer
  • Match each unit rate on the left with an equivalent phrase on the right. Some
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!