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
Ostrovityanka [42]
1 year ago
13

The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions

of the rectangle.
Mathematics
1 answer:
Mariulka [41]1 year ago
7 0

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

You might be interested in
What is the anser for 194*33333
kkurt [141]

(the answer is) = 6466602

8 0
3 years ago
I need help solving for the angle.​
ohaa [14]
Use a protracter :) hope this helps!
6 0
3 years ago
Y = 2/3 when x = 0.2
azamat
Please explain some more:)
4 0
3 years ago
When a boat travels 75m from the shore, the boat drops an anchor that reaches for
slavikrds [6]

Answer:

We often use everyday definitions of the word "energy," but which statement

best describes what energy is in science?

A. the ability to carry things a long distance

B. the result of eating a lot of carbohydrates

C. the amount of time something can keep moving without rest

D. the ability to do work or cause change

Step-by-step explanation:

5 0
3 years ago
HELLO. I NEED HELP ON A HANDFUL OF QUESTIONS. PLEASE HELP. ​
galben [10]

Question 7: $3945

78,900÷100×5= 3,945

or 789,00×0.05= $3,945

Question 8: I think it may be $675.46 ( but I'm not sure)

$1010 is her annual insurance premium so to find one month we need to divide $1010 by 12

$1010÷12= $84.20

also her annual real estate tax is $938 and to find one month we need to divide this by 12 as well.

$938÷12=$78.20

and in order to find out her combined monthly payment we need to add them all together

$513.12+$84.16+$78.16= $675.46

Question 9: is False

Question 10: I don't know

Hope this helps

5 0
3 years ago
Other questions:
  • If rybirens (which each have 9 flowers) and figilbuttons (which each have 7 flowers). he says to his friend, i count 87 plants a
    10·1 answer
  • Find the roc of the volume of a cube with respect to the length of its side s when s = 25.
    10·1 answer
  • Which number is prime? Choose each correct answer. 55 56 57 58 59 60 61 Please help. Will mark brainiest.
    15·2 answers
  • Please help brainliest if correct
    12·2 answers
  • Myra will attend college in 18 months.
    8·2 answers
  • if mike invests 2000 in the bank at a simple interest rate of 5.3% for 10 years how much interest will he make?
    9·1 answer
  • Please help me with this its my last math question will give brainly for correct answer
    6·1 answer
  • 40 kg is how many pounds
    6·2 answers
  • Find the value of X to the nearest tenth
    12·1 answer
  • I NEED HELP WITH MY HOMEWORK SOMEONE HELP PLS
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!