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
I just learned this today and it’s a little confusing , is there anyone that could explain how to do these problems for me ?
evablogger [386]

Step-by-step explanation:

I'll do the first problem as an example.

∠P and ∠H both have one mark.  That means they're congruent.

∠T and ∠G both have two marks.  So they're congruent.

∠W and ∠D both have three marks.  So they're congruent.

So we can write a congruence statement:

ΔPTW ≅ ΔHGD

We can write more congruence statements by rearranging the letter, provided that corresponding pairs have the same position (P is in the same place as H, etc.).  For example:

ΔWPT ≅ ΔDHG

ΔTWP ≅ ΔGDH

3 0
3 years ago
Pls help will give Brainlyist
kvasek [131]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
Write an expression that represents the sum of 7 and x. Please help :)<br><br><br>Thanks!
eduard

Answer:

the sum of 7 is 7

Step-by-step explanation:

8 0
3 years ago
The difference of a number and five is negative one. Find the number.
Veronika [31]

Answer:

The number is 4

Step-by-step explanation:

Write algebraically:

n-5=-1

n=4

The number is 4

8 0
3 years ago
-9y - 2 (2 - 7y) + 4
poizon [28]

Answer:

-9y-2(2-7y)+4 expand the brackets using-2

Step-by-step explanation:

-9y-4+14y+4

arrange the like terms

-9y+14y-4+4

=5y becoz -4+4=0

ans=5y

7 0
3 years ago
Read 2 more answers
Other questions:
  • 3m-10 when m= -3<br> pls explain
    6·2 answers
  • The next day, you charge $3.50 for each bracelet. You have a supply of 30 bracelets, and exactly 30 customers demand them. At th
    8·1 answer
  • three brothers shared some oranges in the ratio of 6:4:2,if the brother with the largest share had 150 oranges, find the number
    7·2 answers
  • What is a real life example of trigonometric ratios
    15·1 answer
  • PLEASE HELP ASAP!!! WILL GIVE BRAINLIEST FOR BEST/RIGHT ANSWER!!!!!!!!
    14·2 answers
  • There are 32 players on the football team in total. If 75% of the students are in seventh grade, how many seventh graders are on
    9·1 answer
  • Starting with the number 100, Shaffiq repeatedly divides his number by two and then takes the greatest integer less than or equa
    5·1 answer
  • Let X be a normal random variable with mean 40 and standard deviation 2. Find P(X &lt; 28).
    12·1 answer
  • Find the constant of proportionality (r) in the equation y=rx
    13·2 answers
  • Which number is prime? 18, 28, 41, 9,
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!