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
bija089 [108]
3 years ago
10

11. For a math homework assignment, Karla found the

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
6 0

Answer:

Option C. 12 by 15

Step-by-step explanation:

Let the length be L

Let the width be w

Area of rectangle = L x w

Perimeter of rectangular = 2 (L + w)

From the question given,

A = 180

P = 54

180 = L x w (1)

54 = 2(L + w) (2)

From equation (2),

54 = 2(L + w)

Divide both side by the 2

54/2 = L + w

27 = L + w

L = 27 — w (3)

Substituting the value of L into equation (1), we have:

180 = L x w

180 = w(27 — w)

180 = 27w — w^2

Rearrange the expression

w^2 — 27w + 180 = 0 (4)

Solving by factorization method:

Multiply the first term (i.e w^2) with the last term (i.e 180). This gives 180w^2. Now find two factors of 180w^2, such that their sum will result to the second (i.e —27w). These factors are —12w and —15w.

Now, substitute these factors (—12w and —15w) into equation (4)

w^2 — 27w + 180 = 0

w^2 — 12w —15w + 180 = 0

w(w — 12) — 15(w — 12) =0

(w — 12) (w — 15) = 0

w = 12 or w = 15.

Substituting the value of w into equation (3)

L = 27 — w

When w = 12

L = 27 — 12 = 15

When w = 15

L = 27 — 15 = 12

Since the length is longer than the width, the length is 15 and the width is 12.

Therefore the dimensions is 12 x 15

You might be interested in
Plz helpp FASTT
Burka [1]
Are you sure about your solves??

I think correct answer is 6,

I don't know but the standard way is in the photo:

5 0
3 years ago
Read 2 more answers
What is the answer for 3.
scoundrel [369]
The answer is 27000000
5 0
3 years ago
Read 2 more answers
miguel is posting photos on a school website. He has 48 photos, and he is allowed to use 12 pages. He wants to put the same numb
Vlad1618 [11]

Answer:

4 pages

Step-by-step explanation:

48 divided by 12 = 4

8 0
2 years ago
A bus driver drives 547.25 miles on day 1 of a trip. On day 2, he drives 327.875 miles.
liq [111]
219.375 because 547.25 minus 327.875 is 219.375.
8 0
3 years ago
Read 2 more answers
PLEASE HELP ME WITH THIS. 20 POINTS.
soldi70 [24.7K]

Answer:

i think D

Step-by-step explanation:

why

As the graph is basically  y = 2x then all the answer with a higher slope are meant to be equations that represet relationship B. So the answers will be the second one: y=2.2x and the fourth one y= 3x

5 0
3 years ago
Other questions:
  • What's 5 divided by x squared explain
    13·2 answers
  • A blueprint is drawn using a scale of 2 mm over 25 ft. What length is represented by 1 mm?
    6·1 answer
  • How do i show my work for 12.62 divide by 0.4
    12·1 answer
  • What postulate or theorem can be used to prove that ΔEFG ≅ ΔJHG?
    12·1 answer
  • Emil is purchasing a $175,000 home with a 15-year mortgage. He will make a
    5·1 answer
  • 2(x+1)=10 <br><br> what is x and how did you get it i need help please thank youu
    13·2 answers
  • Can someone please give me the answer to this problem?
    12·1 answer
  • Solve: XXV - IV Show your answer in standard form.​
    6·2 answers
  • What is the value of Y
    7·1 answer
  • What is the product? (negative 3 s 2 t)(4 s minus t).
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!