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
Alexxx [7]
3 years ago
13

A rectangle is 4 times as long as it is wide. If the length is increased by 4 inches and the width is decreased by 1 inch, the a

rea will be 60 square inches. What were the dimensions of the original rectangle?
Mathematics
2 answers:
Nataly [62]3 years ago
7 0

Let the Width of the Original Rectangle be : W

Given : Length of the Original Rectangle is 4 times as long as it's Width

⇒ Length of the Original Rectangle = 4 × W = 4W

Now Some Modifications are made, So that Original Rectangle becomes into a New Rectangle.

Given the Length of New Rectangle is 4 inches More than Length of Original Rectangle.

⇒ Length of New Rectangle = 4W + 4

Given the Width of New Rectangle is One Inch less than Width of Original Rectangle.

⇒ Width of New Rectangle = W - 1

We know that Area of a Rectangle is : Length × Width

Given the Area of New Rectangle is 60 inches²

⇒ (4W + 4)(W - 1) = 60

⇒ 4W² - 4W + 4W - 4 = 60

⇒ 4W² - 4 = 60

⇒ 4W² = 64

⇒ W² = 16

⇒ W = 4

<u>Dimensions of Original Rectangle :</u>

Length of Original Rectangle = 4W = 4 × 4 = 16 inches

Width of Original Rectangle = W = 4 inches

ruslelena [56]3 years ago
3 0

The equation can be formatted as (w-1)(l+4) = 60

There are many ways to solve this but I decided to just plug in numbers.

I established w is 7 and L was 6 initially.

The long way to solve this would be by completing the square which is literally impossible to diagram on this website.

You might be interested in
33/(-3)+6=<br> (-20)/5 - 2=<br><br> what is the greater value?
UNO [17]
The way to do this mathematically is by incorporating the Order of Operations.(Please Excuse My Dear Aunt Sally) This stands for (do first:) Parenthesis, then exponents, after that multiplication, now division, then addition, and finally subtraction. The side on the right then equals -5 while the side on the right equals -6. The greater value is the left side. If you have any other questions, just ask me!
5 0
3 years ago
out of 125 children at summer camp 45 signed up for swimming 38 for arts and crafts if a child is randomly selected what is the
anzhelika [568]
P(s) = 45/125 = 0.360
P(A&C) = 38/125 = 0.304
Probability that one is not in Arts and Crafts = 1- P(A&C) = 1-0.304 = 0.696

Therefore,
Probability that the child selected is in swimming when its known they didn't sign for Arts and craft = Probability they signed for swimming * Probability that they didn't sign for Arts and Crafts = 0.360*0.696 = 0.25056
3 0
3 years ago
Read 2 more answers
HELP FINAL QUSTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
soldier1979 [14.2K]

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ 9=5x-3+9

First, you would need to combine the like terms.

-3+9 = 6

9=5x+6

Next, you subtract 6 on both sides.

3=5x

Finally, you divide 5 on both sides to isolate x.

3/5=x

Final answer:

x=3/5

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

5 0
3 years ago
Can someone help please I need help
mina [271]

Answer:

C= 25n+100

Step-by-step explanation:

Let's see what's in the graph :

  • the image of 4 is 200 C(4)=200
  • C(2)= 150

let m be the slope of this function :

  • m= \frac{200-150}{4-2}=25

The first value in the graph is 100 wich is c(0)=100

  • so the equation is : c=25n+100
7 0
2 years ago
Parallel lines r and s are cut by two transversals, parallel lines t and u. How many angles are alternate interior angles with a
Serhud [2]

Answer:

3

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • A computer randomly picks a number from the group 75, 76, 77, 78, 79.
    10·1 answer
  • Using the technique in the model above, find the missing side in this 30°-60°-90° right triangle.
    8·2 answers
  • How do you graph a negative slope when it’s in slope intercept form
    13·1 answer
  • If a bag contains 18 red, 6 yellow, 24 blue, and 8 white balloons, what is the part-to-whole ratio of white balloons to all ball
    9·1 answer
  • Which equation shows y = 3/4x - 5/2 in standard form?
    7·1 answer
  • I need helppp plzzz :((
    14·2 answers
  • At a popular rock-climbing site in Yosemite National Park, a randomly selected
    13·1 answer
  • Classify each pair of numbered angles.
    9·1 answer
  • A group that was given immigration priority under the Immigration Act of 1965
    10·1 answer
  • A retailer needs to purchase 11 printers. The first printer costs $58, and each additional printer costs 5% less than the price
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!