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
Leto [7]
2 years ago
6

the length of a rectangle is 6 meters less than twice the width. The area of the rectangle is 140m². Find the dimensions of the

rectangle.
Mathematics
2 answers:
AveGali [126]2 years ago
8 0

Answer:

Here's what we know:

A = Lw (Area is length times width)

L = 2w + 6 (length is twice the width plus 6)

A = 140 (Area is 140 m2)

Plug in the variable values:

140 = w(2w + 6)

Distribute:

140 = 2w2 + 6w

Subtract 140:

2w2 + 6w - 140 = 0

Factor out a 2:

2(w2 + 3w - 70) = 0

Divide both sides by 2:

w2 + 3w - 70 = 0

(w + m)(w - n)

When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:

(w + 10)(w - 7) = 0

w = -10, 7

We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.

L = 2 * 7 + 6

L = 14 + 6

L = 20

Check:

140 = 20 * 7

140 = 140

sergeinik [125]2 years ago
3 0
Equation 1 is 2W - 6 = L
equation 2 is 140= W * L

L=10
W=8
You might be interested in
IN NEED OF ANSWER :( A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the th
vichka [17]

Answer:

a = 33ft

b= 66ft

c = 48 ft

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • a (shortest side)= a
  • b (second side)=2a (twice the length of the shortest side)
  • c (third side)= a+15 ( 15 feet more than the length of the shortest side)

Since:  

Perimeter = a+b+c

Replacing with the values given:

147 = a+2a+(a+15)

147 = a+2a+a+15

147-15 = a+2a+a

132 = 4a

132/4 = a

33 ft= a  

Substituting a =33 in the other expressions:

b=2a = 2(33) = 66 ft

c= a+15 = 33+15 = 48 ft

3 0
3 years ago
What is 1/4x-6=-10 step by step please help me
Aloiza [94]

Answer:

x = -16

Step-by-step explanation:

\frac{1}{4}x-6=-10 < ==add\ 6\ to\ both\ sides\\ \ \ \ \ \ \ \ \ +6  \  \ \ \  \  \ \  \ +6\\\\\frac{1}{4}x=-4 < ==multiply\ both\ sides\ by\ 4\\4(\frac{1}{4}x=-4)\\\\x=-16 < ==final\ answer

Hope this helps!

3 0
2 years ago
Y'all help me pls no links pls
nadya68 [22]
10! If you use the trapezoid area formula and plug in the known values, just solve for h(height)
6 0
2 years ago
Help plz someone help me plz ty
MrRa [10]

Answer: 18.75 for each girl

Step-by-step explanation:

First you take the unit rate 2.50 multiply by 5.

2.50 x 5 = 12.50

12.50 x 3 = 37.50

37.50 / 2 = 18.75

7 0
2 years ago
What is the shortest possible perimeter for an arrangement with an area of 15 square feet
lesya692 [45]

Answer:

Step-by-step explanation:

t7lu78o78

6 0
2 years ago
Read 2 more answers
Other questions:
  • 18x3=54<br><br> How do I get a distributive property
    6·1 answer
  • The absolute value of a number is added to the original number. Kayla says the sum is always 0. Is she correct? Why
    7·1 answer
  • A survey was taken of 49 people to see if they watch basketball and/or soccer games on television. The results are shown in the
    8·1 answer
  • Can someone please help
    15·1 answer
  • Which of the following represents y &lt; 2x - 3?<br><br><br> help a girl out please
    7·1 answer
  • Combine like terms in expression below <br><br> 2f + 9e - f + 3e
    6·2 answers
  • A bag of marbles contains only purple and yellow marbles. The bag has three times as many yellow as purple, the bag contains 164
    11·1 answer
  • State the domain and range of each of the following functions <br> Please help!!!
    14·1 answer
  • Simplify: 40x7- (-12x7)<br> Enter the original expression if it cannot be<br> simplified.
    5·1 answer
  • Mary invests £12000 in a savings account.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!