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
qwelly [4]
2 years ago
9

The length of a rectangle is 8 feet more than its width. If the width is increased by 4 feet and the length is decreased by 5 fe

et, the area will remain the same. Find the dimensions of the original rectangle.
Mathematics
1 answer:
bezimeni [28]2 years ago
7 0
Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w

No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12

Now our problem says that the two area will be equal to each other, which sets up the following equation:

w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
You might be interested in
Help help help help help
e-lub [12.9K]

Answer: E: 100%

Step-by-step explanation:

If the class average is currently 70% and she wants to increase it by 10% every week for 3 weeks, 10×3=30% and 70+30= 100%.

PS- It would mean the world to me if you could mark me brainliest!

I am not a professional, I am simply using prior knowledge!

7 0
2 years ago
Expand the linear expression below <br> -5(-3 x -6)
Annette [7]

Answer:

15 x 30

Step-by-step explanation:

Distribute -5 to each variable in the parenthesis.

-5 x -3 = 15

-5 x -6 = 30

15 x 30

8 0
2 years ago
The area of Kylie's room is 400 square feet. The width of her room is 20 feet. What is the length of her room?
zavuch27 [327]

Answer:

length=20 (Sorry if this is wrong)

Step-by-step explanation:

400÷20=20

3 0
2 years ago
In the graph line ( ) passes through the complex number 1+2i and the line( ) passes through -2+2i
Nikitich [7]
Line E, line G.

_____
7 0
2 years ago
Read 2 more answers
In the rectangle below,EI=4x+5 ,FI=6x+1 , and m
Ivan

Answer:

what? I dont understand not one thing

4 0
2 years ago
Other questions:
  • A line with slope 3 passes through the point (0,10). What is the y-coordinate of the point on the line with x-coordinate 2?
    15·1 answer
  • Sue uses the expression (8 x 3,000) + (8 x 200) +(8 x 9) to help solve a multiplication problem. What is Sue's multiplication pr
    15·1 answer
  • What are the slope and y-intercept of the graph? Use the drop-down menus to show your answer.
    14·1 answer
  • What is The sum of the cost of dinner d and a $12 tip divided equally between 3 people?
    5·1 answer
  • Find the volume of the pyramid
    11·1 answer
  • 15) What is the measure, in degrees, of an angle that is equivalent to 3/360 of a circle
    6·1 answer
  • Select the correct answer
    8·1 answer
  • Please help 30 points
    6·2 answers
  • Plssssss I’m being timed
    14·1 answer
  • 1. On a 20 question test, Sarah got 2 questions wrong. What percent of the test does he have correct?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!