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
GarryVolchara [31]
3 years ago
10

The length of a rectangle is 3 centimeters less than four times its width. Its area is 10 square centimeters. Find the dimension

s of the rectangle.
Mathematics
1 answer:
Kay [80]3 years ago
8 0

Answer:

W = 2 cm

L = 5 cm

Step-by-step explanation:

A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. Its area, the amount of space inside it, can be found using the formula A = l*w. If the area is 10 cm² and the length is "3 cm less than 4 times the width" or 4w - 3, you can substitute and solve for w.

A = l*w

10 = (4w - 3)(w)

10 = 4w² - 3w

Subtract 10 from both sides to make the equation equal to 0. Then solve the quadratic by quadratic formula.

4w² - 3w - 10 = 0

Substitute a = 4, b = -3 and c = -10.

w = \frac{3 +/- \sqrt{(-3)^2 - 4(4)(-10)} }{2(4)} = \frac{3 +/- \sqrt{9 +160)} }{8} =  \frac{3 +/- \sqrt{169} }{8} = \frac{3+/-13}{8}

There are two possible solutions which can be found.

3 + 13 / 8 = 16/ 8 = 2

3 - 13 / 8 = -10/8 = -5/4

Since w is a side length or distance, it must be positive so w = 2 cm.

If the width is 2 cm then the length is 4(2) - 3 = 8 - 3 = 5 cm.

You might be interested in
PLEASE HELP DUE IN 15 MINUTES WILL GIVE BRAINLIEST!
AVprozaik [17]

4m = 12x + 40

8x + 8x + 12x + 40 + 4m = 360

28x + 40 + 12x + 40 = 360

x = 7

m = 12(7) + 40 = 124

7 0
3 years ago
Write 0.2 as a fraction in simplest form.
Reika [66]

Hi ;-)

0,2=\dfrac{2}{10}=\dfrac{2:2}{10:2}=\boxed{\frac{1}{5}}

7 0
3 years ago
Read 2 more answers
Luke added 429 + 699 +314 and got 950.Is this sum reasonable?
trasher [3.6K]
No, it's not reasonable
6 0
3 years ago
Read 2 more answers
Giving 100 point's and brainliest to whomever gets this correct
Oksana_A [137]

Answer:

1 x 60, 2 x 30, 3 x 20, 4 x 15, 5 x 12, 6 x 10, 10 x 6, 12 x 5, 15 x 4, 20 x 3, 30 x 2, 60 x 1 = 60

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Jena bought $8 shirt and paid $8.48 with a sales tax. what is the percent of sales tax
guajiro [1.7K]

Answer:

48 cents

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Write two equations that have one unique solution each
    6·1 answer
  • the sum of 3 consecutive integers is 42.let x be the middle of the three integers. transcribe the statement accordingly
    6·1 answer
  • I need to find the Horizontal and Vertical Intercepts. <br><br> Will mark brainliest!!
    12·1 answer
  • Antony borrows $6.50 from a friend to pay for a sandwich and a drink at lunch. Then he borrows $3.75 from his sister to pay a li
    11·1 answer
  • Ryan bought a sofa on sale for $342. This price was 28% less than the original price.
    11·1 answer
  • A typist can type 1800 words in 1 hour.Find the number of words that he can type per minute​
    10·2 answers
  • Can you explain how to get that answer do I multiple divide add or subtract please help!!
    8·1 answer
  • Daily high temperatures (°F): 45, 50, 47, 52, 53, 45, 51 Calculate the range of temperature. Degrees
    7·2 answers
  • I NEED HELP FASTTTT D:
    7·1 answer
  • Identify the intermediate form of the following limit
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!