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
stiv31 [10]
3 years ago
9

The length of a rectangle is three times it's width. If the width is diminished by 1 m and length is increased by 3 m, the area

of the rectangle that is formed is 72 m². Find the dimensions of the original rectangle.
Mathematics
1 answer:
Stella [2.4K]3 years ago
3 0

Answer: the length is 15 m and the width is 5 m

Step-by-step explanation:

Let L represent the original length of the rectangle.

Let W represent the original width of the rectangle.

The length of a rectangle is three times it's width. This means that

L = 3W

If the width is diminished by 1 m and length is increased by 3 m, the area of the rectangle that is formed is 72 m². This means that

(L + 3)(W - 1) = 72

LW - L + 3W - 3 - 72 = 72 + 3

LW - L + 3W = 75 - - - - -- - - - - - 1

Substituting L = 3W into equation 1, it becomes

3W × W - 3W + 3W = 75

3W² = 75

W² = 75/3 = 25

W = √25 = ±5

The width cannot be negative. Therefore, the width is 5 m

L = 3W = 3 × 5 = 15 m

You might be interested in
At the beginning of this month, the balance of Agatha's checking account was $782.39. So far this month, she has received a payc
Arturiano [62]
B. 1582.15
I hope this helps
3 0
2 years ago
I need help with this please​
harina [27]

Answer:

acute

Step-by-step explanation:q

7 0
2 years ago
Read 2 more answers
Will mark brainiest pls just lmk
aksik [14]

Answer:

If asking for the distance, the answer would be C.

4 0
2 years ago
Read 2 more answers
Which of the following are valid names for the given polygon
barxatty [35]
B,C and D are correct because all of those choices include letters which are arranged in order from left of right.
5 0
3 years ago
What is 1675 divided by 25 with remainder?
attashe74 [19]

Answer:

975

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Does 9,40,41 form a right triangle
    8·2 answers
  • I need help on this one thanks!!
    7·1 answer
  • Which is greater than 4.026?<br><br> A. 4.020<br><br> B. 4.030<br><br> C. 4.021<br><br> D. 4.006
    13·2 answers
  • You can stuff envelopes twice as fast as your friend. Together, you can stuff 6750 envelopes in 4.5 hours. How long would it tak
    10·2 answers
  • Change the fraction 7/12 to a decimal. Round your answer to the nearest thousandth. A. 1.714 B. 1.700 C. .600 D. .583
    12·1 answer
  • Natasha had 2356 beads , Lydia had 1176 beads and Munah had 1708 beads at first.After they each used an equal number of beads, N
    9·2 answers
  • 4) Manuel has an outstanding credit balance of $1117.00 on a credit card. The minimum
    13·1 answer
  • Which number has the the greatest absolute value?<br> -20<br> -10<br> 0<br> 10
    13·1 answer
  • What is the constant of proportionality
    6·1 answer
  • At a diving meet, Trudy scored 8.85 on her first dive and 9.35 on her second dive. What was her combined score?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!