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
xz_007 [3.2K]
3 years ago
12

the length of a rectangle is 3 feet more than twice the width. if the width is increased by four feet the perimeter of the new r

ectangle is 68 feet. find the area of the original rectangle
Mathematics
1 answer:
densk [106]3 years ago
5 0

Answer:

The area of the original rectangle  = 189 sq ft.

Step-by-step explanation:

Let, the width of the rectangle = m feet

So, the length of the rectangle =  (2 m + 3)  ft

Now, new width w'  = (m + 4)

Perimeter of new rectangle (P')   = 68 ft

Perimeter of a rectangle = 2 (LENGTH + WIDTH)

⇒68 ft   = 2( L + W')  

or, 68 ft   = 2 [( 2m + 3) + (m + 4)]

or, 2 (3m + 7)  = 68

or, 3m + 7 = 68/2  = 34

⇒ 3m = 34 - 7 = 27

⇒ m = 27/3 = 9

or, m = 9 ft

Hence, the original width  of the rectangle =  9 ft

Original Length of the rectangle = 2m  + 3  = 2(9) + 3 = 21 ft

Now, Area of the Rectangle = LENGTH X WIDTH

=  21 ft  x  9 ft  = 189 sq ft

Hence,the area of the original rectangle  = 189 sq ft.

You might be interested in
Is 11/13 a ratio in simplest form
Molodets [167]
Yes 11/13 cannot be simplified anymore
5 0
3 years ago
Look at the incomplete multiplication problem below.
USPshnik [31]
So I'm assuming the answers have to be the same?? if that's the case, 457×32=15904 so you would subtract 994 from 15904. That means the answer is 14,910. I hope this helped!
4 0
3 years ago
Read 2 more answers
You have the numbers 1-24 written on slips of paper. If you choose one slip at random, what is the probability that you will not
ra1l [238]

The probability of selecting a number not divisible by 3 is: 2/3

Step-by-step explanation:

There are two methods to solve the question.

  1. We can find the probability of numbers not divisible by 3
  2. We can find the probability of numbers divisible by 3 and then find the complement of it

We will use the second method:

Given:

There are 24 slips

S = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24}

n(S) = 24

Let A be the event that the slip number is divisible by 3

Then

A = {3,6,9,12,15,18,21,24}

n(A) = 8

The probability of number divisible by 3 is:

P(A) = \frac{n(A)}{n(S)}\\=\frac{8}{24}\\=\frac{1}{3}

The sum of the probability of an event's occurrence and non-occurrence is 1. So the probability of numbers divisible by 3 will be subtracted from 1 to find the probability of selecting a number not divisible by 3.

The probability of selecting a number not divisible by 3 will be:

=1-\frac{1}{3}\\=\frac{3-1}{3}\\=\frac{2}{3}

The probability of selecting a number not divisible by 3 is: 2/3

Keywords: Probability

Learn more about probability at:

  • brainly.com/question/9045597
  • brainly.com/question/9103248

#LearnwithBrainly

8 0
3 years ago
Let f(x) = 12/4x+2. find f(-1)
Step2247 [10]
Just plug in -1 for x and u should get ur answer
7 0
2 years ago
HOW MANY DEGREES IN A SUPPLEMENTARY ANGLE???
monitta

Answer:

180 degrees

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Please help with number 9 and 10
    15·1 answer
  • What is the square root of 79
    12·2 answers
  • The equation q=12c represents the quantity q of t-shirts in any number of cartons c. What is the constant of proportionality?
    11·1 answer
  • 10/15 and 14/21 are equivalent fractions. <br> true or false?
    9·1 answer
  • A book 500 pages (500 sheets of paper) long is 2.25 inches thick. If each cover is 0.125 inches thick, how thick is each sheet o
    13·1 answer
  • Please help 50 points
    6·2 answers
  • Which side lengths could be used to form a triangle? willing to throw in brainliest if correct\
    9·1 answer
  • If a beam can hold 2,000 pounds at 15 feet, what is the safe load if the length of the beam is 10 feet?
    14·2 answers
  • To the nearest tenth what is the length of the hypotenuse of a right triangle if one side measures 4.5meters and the other side
    9·1 answer
  • If f ( x ) = x 4 + 6 , g ( x ) = x − 5 and h ( x ) = √ x , then f ( g ( h ( x ) ) ) =
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!