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
Anettt [7]
3 years ago
6

1. If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a square, the area o

f which will be 40 cm2 greater than the area of the rectangle. Find the area of the rectangle.
2.The perimeter of a rectangle is 30 cm. If its length is decreased by 3 cm and its width is increased by 5 cm, the area of the rectangle will decrease by 8 cm2. Find the area of the original rectangle.
Mathematics
1 answer:
iren2701 [21]3 years ago
3 0
Let L be length, W be width
(L-4)=(W+5)
(L-4)(W+5)=LW+40
simplify the first equation: L-W=5

simplify the second equation: (L-4)(W+5)=LW+40
               LW-4W+5L-20=LW+40  =>5L-4W=60
             
solve this system of equations: L-W=9
                                                  5L-4W=60
you get W=15, L=24, so the area is 24*15=360

#3:
(L-3)(W+5)=LW-8
2L=2W=30
W=68/8=8.5, L=52/8=6.5, LW=55.25
You might be interested in
In a school, the ratio of soccer players to volleyball players is 4 : 1. The number of soccer players is how many times the numb
soldier1979 [14.2K]

Your question appears to be phrased incorrectly.  If the ratio of soccer players to football players is 4:1 then for every 1 football player there are 4 soccer players.  For example, if there are 3 football players, there would be 12 soccer players.

The equivalent expression would be   S = 4F

The statement: "there are 4 more soccer players than football players" is not the same thing.  It simply means that we add 4 to the total of football players to find out how many soccer players there are.

The equivalent expression would be   S = F + 4

That being said:  An equivalent ratio to 4:1  would be  8:2 ,  12:3,  16:4, ...

Think of the ratio as a fraction.  4:1 = 4/1

4/1 = 8/2 = 12/3 = 16/4 ..., etc.

3 0
3 years ago
What is the common ratio for this sequence? Hurry!!!!!
valina [46]
A common ratio for that sequence is r = 5/1
6 0
3 years ago
Read 2 more answers
Mias dog weighs 32.6 pounds. Letties dog weighs 3.8 times as much as Mias you. What does Letties dog weigh in pounds?
Whitepunk [10]
Hello!

We are given the weight of Mia's dog and told to find the weight of Lettie's dog based on the known relationship. Using these given values, we can create the following equation (let "w" represent the total weight of Lettie's dog):

w = 32.6(3.8)

Simplify the right side of the equation:

w = 123.88

We have now proven that Lettie's dog weighs 123.88 lbs.

I hope this helps!
6 0
3 years ago
Read 2 more answers
A shopkeeper purchased hammocks for $800 and sold them at a discount of 25%. What was the selling price? Choose the correct opti
myrzilka [38]

Answer:

B

Step-by-step explanation:

25% of 800 is 200, so 800-200 is 600

6 0
3 years ago
Simplify 36*3.<br> O A. 35<br> B. 36<br> O C. 37<br> O D. 96<br> HELP ME
Lelu [443]

Answer:

12/1

Step-by-step explanation:

hope this helped if not sorry

6 0
3 years ago
Other questions:
  • Jason ordered the numbers −70, −18, and −18.5 from least to greatest by writing the following statement:
    11·1 answer
  • Please Help!!<br> Solve x2 = 121.<br> A. 60.5<br> B. −11<br> C. 11<br> D. ±11
    11·2 answers
  • What is the value of 5 to the power of 4 over 5 to the power of 6?
    5·2 answers
  • A zoo has 2 male lion one sixth of the lion are male lion how many lions are there at the zoo
    15·1 answer
  • Which of the following is an example of earning income from capital gains?
    15·2 answers
  • 6. Which of the following equations has a slope of -2 and passes
    13·1 answer
  • The ratio x:10 is equilvalent to 9:6. What is the value of x
    9·1 answer
  • 7. A car that was originally worth $29,500 depreciates at a rate of $2,500 per year. Find the
    7·1 answer
  • A shopkeeper bought 50 kg of sugar and sold 1/4th of the sugar. find the mass of sugar that was left​
    15·2 answers
  • These are so random? I don’t know why I have to put these? Ignore them
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!